ExamView - 1D - Strand A - Number Sense & Algebra.tst

Name: ________________________
Attempt: __________
Proficiency Demonstrated: Sufficient Insufficient (Repeat Assessment) MPM1D - Strand A - Number Sense & Algebra
1. Express as a single power
2. Simplify the following
a) (x 10 )(x 13 )
a) 4x 2 + 5x + 7 + 4x 2 − x + 2
b) 6x 2 y + 5xy 2 + 4x 2 y
b) x 9 ÷ x 7
c) −8x(4x − 6) + 5x(4x + 2)
c) (x 5 ) 3
1
ID: A
Name: ________________________
ID: A
3. Solve for x:
5. Solve for x:
x
−9
=
−5
6
2x = 16
4. Solve for x:
6. Solve for x:
–7(–7x +4) = –5x–5
x−2= 8
7. Doug is 14 years older than Josie. The sum of their ages is 70. How old is Doug?
2
ID: A
MPM1D - Strand A - Number Sense & Algebra
Answer Section
SHORT ANSWER
1. ANS:
a) x 10 + 13 = x 23
b) x 9 − 7 = x 2
c) x 5 × 3 = x 15
PTS: 1
2. ANS:
a) = 4x 2 + 5x + 7 + 4x 2 − x + 2
= 4x 2 + 4x 2 + 5x − x + 2 + 7
= 8x 2 + 4x + 9
b) = 6x 2 y + 5xy 2 + 4x 2 y
= 6x 2 y + 4x 2 y + 5xy 2
= 10x 2 y + 5xy 2
c) = −8x(4x − 6) + 5x(4x + 2)
= −32x 2 + 48x + 20x 2 + 10x
= −32x 2 + 20x 2 + 48x + 10x
=−12x 2 + 58x
PTS: 1
3. ANS:
x
−9
=
−5
6
ÊÁ x ˆ˜ ÊÁ −9 ˆ˜
−5 × ÁÁÁÁ ˜˜˜˜ = ÁÁÁ ˜˜˜˜ × −5
Ë −5 ¯ ÁË 6 ¯
45
x=
6
x = 7.5
PTS: 1
4. ANS:
x−2= 8
x −2+2 = 8+2
x = 10
PTS: 1
1
ID: A
5. ANS:
2x = 16
2x 16
=
2
2
x=8
PTS: 1
6. ANS:
TBD
PTS: 1
7. ANS:
∴Doug is 42 years old.
Josie is 28 years old.
PTS: 1
2
Name: ________________________
Attempt: __________
Proficiency Demonstrated: Sufficient Insufficient (Repeat Assessment) MPM1D - Strand A - Number Sense & Algebra
1. Express as a single power
2. Simplify the following
a) (x 6 )(x 16 )
a) −x 2 − 6x − 2 − x 2 − 4x − 1
b) 7x 2 y − 6xy 2 − x 2 y
b) x 5 ÷ x 2
c) 3x(8x + 7) − 6x(−x − 1)
c) (x 7 ) 9
1
ID: B
Name: ________________________
ID: B
3. Solve for x:
5. Solve for x:
x
3
=
−3 −6
5x = 35
4. Solve for x:
6. Solve for x:
3(–3x –5) = –6x–7
x−7= 3
7. Doug is 8 years older than Josie. The sum of their ages is 90. How old is Doug?
2
ID: B
MPM1D - Strand A - Number Sense & Algebra
Answer Section
SHORT ANSWER
1. ANS:
a) x 6 + 16 = x 22
b) x 5 − 2 = x 3
c) x 7 × 9 = x 63
PTS: 1
2. ANS:
a) = −x 2 − 6x − 2 − x 2 − 4x − 1
= −x 2 − x 2 − 6x − 4x − 1 − 2
= −2x 2 − 10x − 3
b) = 7x 2 y − 6xy 2 − x 2 y
= 7x 2 y − x 2 y − 6xy 2
= 6x 2 y − 6xy 2
c) = 3x(8x + 7) − 6x(−x − 1)
= 24x 2 + 21x + 6x 2 + 6x
= 24x 2 + 6x 2 + 21x + 6x
=30x 2 + 27x
PTS: 1
3. ANS:
x
3
=
−3 −6
ÊÁ x ˆ˜ ÊÁ 3 ˆ˜
−3 × ÁÁÁÁ ˜˜˜˜ = ÁÁÁ ˜˜˜˜ × −3
Ë −3 ¯ ÁË −6 ¯
−9
x=
−6
x = 1.5
PTS: 1
4. ANS:
x−7= 3
x −7+7 = 3+7
x = 10
PTS: 1
1
ID: B
5. ANS:
5x = 35
5x 35
=
5
5
x=7
PTS: 1
6. ANS:
TBD
PTS: 1
7. ANS:
∴Doug is 49 years old.
Josie is 41 years old.
PTS: 1
2
Name: ________________________
Attempt: __________
Proficiency Demonstrated: Sufficient Insufficient (Repeat Assessment) MPM1D - Strand A - Number Sense & Algebra
1. Express as a single power
2. Simplify the following
a) (x 8 )(x 11 )
a) 5x 2 + 4x + 2 − 8x 2 − 5x + 4
b) −5x 2 y + 4xy 2 − 8x 2 y
b) x 5 ÷ x 8
c) −4x(−2x − 6) + 4x(5x + 4)
c) (x 2 ) 2
1
ID: C
Name: ________________________
ID: C
3. Solve for x:
5. Solve for x:
x
6
=
−6 −4
5x = 20
4. Solve for x:
6. Solve for x:
–7(–8x –7) = 2x+8
x−8= 5
7. Doug is 4 years older than Josie. The sum of their ages is 96. How old is Doug?
2
ID: C
MPM1D - Strand A - Number Sense & Algebra
Answer Section
SHORT ANSWER
1. ANS:
a) x 8 + 11 = x 19
b) x 5 − 8 = x −3
c) x 2 × 2 = x 4
PTS: 1
2. ANS:
a) = 5x 2 + 4x + 2 − 8x 2 − 5x + 4
= 5x 2 − 8x 2 + 4x − 5x + 4 + 2
= −3x 2 − x + 6
b) = −5x 2 y + 4xy 2 − 8x 2 y
= −5x 2 y − 8x 2 y + 4xy 2
= –13x 2 y + 4xy 2
c) = −4x(−2x − 6) + 4x(5x + 4)
= 8x 2 + 24x + 20x 2 + 16x
= 8x 2 + 20x 2 + 24x + 16x
=28x 2 + 40x
PTS: 1
3. ANS:
x
6
=
−6 −4
ÊÁ x ˆ˜ ÊÁ 6 ˆ˜
−6 × ÁÁÁÁ ˜˜˜˜ = ÁÁÁ ˜˜˜˜ × −6
Ë −6 ¯ ÁË −4 ¯
−36
x=
−4
x=9
PTS: 1
4. ANS:
x−8= 5
x −8+8 = 5+8
x = 13
PTS: 1
1
ID: C
5. ANS:
5x = 20
5x 20
=
5
5
x=4
PTS: 1
6. ANS:
TBD
PTS: 1
7. ANS:
∴Doug is 50 years old.
Josie is 46 years old.
PTS: 1
2
Name: ________________________
Attempt: __________
Proficiency Demonstrated: Sufficient Insufficient (Repeat Assessment) MPM1D - Strand A - Number Sense & Algebra
1. Express as a single power
2. Simplify the following
a) (x 7 )(x 5 )
a) 6x 2 + x + 2 + x 2 + 3x + 4
b) −3x 2 y + xy 2 + x 2 y
b) x 8 ÷ x 10
c) −6x(−1x − 3) + x(6x + 4)
c) (x 5 ) 9
1
ID: D
Name: ________________________
ID: D
3. Solve for x:
5. Solve for x:
x
6
=
−8 3
3x = 18
4. Solve for x:
6. Solve for x:
–9(2x +8) = –6x–5
x−7= 7
7. Doug is 12 years older than Josie. The sum of their ages is 90. How old is Doug?
2
ID: D
MPM1D - Strand A - Number Sense & Algebra
Answer Section
SHORT ANSWER
1. ANS:
a) x 7 + 5 = x 12
b) x 8 − 10 = x −2
c) x 5 × 9 = x 45
PTS: 1
2. ANS:
a) = 6x 2 + x + 2 + x 2 + 3x + 4
= 6x 2 + x 2 + x + 3x + 4 + 2
= 7x 2 + 4x + 6
b) = −3x 2 y + xy 2 + x 2 y
= −3x 2 y + x 2 y + xy 2
= –2x 2 y + xy 2
c) = −6x(−1x − 3) + x(6x + 4)
= 6x 2 + 18x + 6x 2 + 4x
= 6x 2 + 6x 2 + 18x + 4x
=12x 2 + 22x
PTS: 1
3. ANS:
x
6
=
−8 3
ÊÁ x ˆ˜ ÊÁ 6 ˆ˜
−8 × ÁÁÁÁ ˜˜˜˜ = ÁÁÁ ˜˜˜˜ × −8
Ë −8 ¯ ÁË 3 ¯
−48
x=
3
x = –16
PTS: 1
4. ANS:
x−7= 7
x −7+7 = 7+7
x = 14
PTS: 1
1
ID: D
5. ANS:
3x = 18
3x 18
=
3
3
x=6
PTS: 1
6. ANS:
TBD
PTS: 1
7. ANS:
∴Doug is 51 years old.
Josie is 39 years old.
PTS: 1
2
Name: ________________________
Attempt: __________
Proficiency Demonstrated: Sufficient Insufficient (Repeat Assessment) MPM1D - Strand A - Number Sense & Algebra
1. Express as a single power
2. Simplify the following
a) (x 6 )(x 14 )
a) x 2 + 8x − 6 + 3x 2 − 4x + 1
b) 5x 2 y + 8xy 2 + 3x 2 y
b) x 2 ÷ x 9
c) −8x(−1x − 6) + 8x(x + 1)
c) (x 7 ) 5
1
ID: E
Name: ________________________
ID: E
3. Solve for x:
5. Solve for x:
x
−7
=
−4
5
2x = 14
4. Solve for x:
6. Solve for x:
–6(–8x –2) = 7x–8
x−1= 6
7. Doug is 16 years older than Josie. The sum of their ages is 72. How old is Doug?
2
ID: E
MPM1D - Strand A - Number Sense & Algebra
Answer Section
SHORT ANSWER
1. ANS:
a) x 6 + 14 = x 20
b) x 2 − 9 = x −7
c) x 7 × 5 = x 35
PTS: 1
2. ANS:
a) = x 2 + 8x − 6 + 3x 2 − 4x + 1
= x 2 + 3x 2 + 8x − 4x + 1 − 6
= 4x 2 + 4x − 5
b) = 5x 2 y + 8xy 2 + 3x 2 y
= 5x 2 y + 3x 2 y + 8xy 2
= 8x 2 y + 8xy 2
c) = −8x(−1x − 6) + 8x(x + 1)
= 8x 2 + 48x + 8x 2 + 8x
= 8x 2 + 8x 2 + 48x + 8x
=16x 2 + 56x
PTS: 1
3. ANS:
x
−7
=
−4
5
ÊÁ x ˆ˜ ÊÁ −7 ˆ˜
−4 × ÁÁÁÁ ˜˜˜˜ = ÁÁÁ ˜˜˜˜ × −4
Ë −4 ¯ ÁË 5 ¯
28
x=
5
x = 5.6
PTS: 1
4. ANS:
x−1= 6
x −1+1 = 6+1
x=7
PTS: 1
1
ID: E
5. ANS:
2x = 14
2x 14
=
2
2
x=7
PTS: 1
6. ANS:
TBD
PTS: 1
7. ANS:
∴Doug is 44 years old.
Josie is 28 years old.
PTS: 1
2
Name: ________________________
Attempt: __________
Proficiency Demonstrated: Sufficient Insufficient (Repeat Assessment) MPM1D - Strand A - Number Sense & Algebra
1. Express as a single power
2. Simplify the following
a) (x 8 )(x 7 )
a) −8x 2 − 6x − 5 − 6x 2 + 3x − 5
b) 2x 2 y − 6xy 2 − 6x 2 y
b) x 13 ÷ x 8
c) −4x(−3x − 2) − 6x(−8x − 5)
c) (x 6 ) 11
1
ID: F
Name: ________________________
ID: F
3. Solve for x:
5. Solve for x:
x −5
=
9
3
4x = 12
4. Solve for x:
6. Solve for x:
4(–4x +3) = –6x+1
x − 6 = 10
7. Doug is 18 years older than Josie. The sum of their ages is 80. How old is Doug?
2
ID: F
MPM1D - Strand A - Number Sense & Algebra
Answer Section
SHORT ANSWER
1. ANS:
a) x 8 + 7 = x 15
b) x 13 − 8 = x 5
c) x 6 × 11 = x 66
PTS: 1
2. ANS:
a) = −8x 2 − 6x − 5 − 6x 2 + 3x − 5
= −8x 2 − 6x 2 − 6x + 3x − 5 − 5
= −14x 2 − 3x − 10
b) = 2x 2 y − 6xy 2 − 6x 2 y
= 2x 2 y − 6x 2 y − 6xy 2
= –4x 2 y − 6xy 2
c) = −4x(−3x − 2) − 6x(−8x − 5)
= 12x 2 + 8x + 48x 2 + 30x
= 12x 2 + 48x 2 + 8x + 30x
=60x 2 + 38x
PTS: 1
3. ANS:
x −5
=
9
3
ÊÁ x ˆ˜
9 × ÁÁÁÁ ˜˜˜˜ =
Ë9¯
ÊÁ −5 ˆ˜
ÁÁ ˜˜ × 9
ÁÁ 3 ˜˜
Ë ¯
−45
3
x = –15
x=
PTS: 1
4. ANS:
x − 6 = 10
x − 6 + 6 = 10 + 6
x = 16
PTS: 1
1
ID: F
5. ANS:
4x = 12
4x 12
=
4
4
x=3
PTS: 1
6. ANS:
TBD
PTS: 1
7. ANS:
∴Doug is 49 years old.
Josie is 31 years old.
PTS: 1
2
Name: ________________________
Attempt: __________
Proficiency Demonstrated: Sufficient Insufficient (Repeat Assessment) MPM1D - Strand A - Number Sense & Algebra
1. Express as a single power
2. Simplify the following
a) (x 9 )(x 14 )
a) 6x 2 + 6x − 5 − x 2 + 4x + 4
b) 7x 2 y + 6xy 2 − x 2 y
b) x 3 ÷ x 4
c) −8x(−7x − 6) + 6x(6x + 4)
c) (x 5 ) 5
1
ID: G
Name: ________________________
ID: G
3. Solve for x:
5. Solve for x:
x
−9
=
−6
7
2x = 10
4. Solve for x:
6. Solve for x:
4(4x –9) = 1x–4
x−7= 3
7. Doug is 8 years older than Josie. The sum of their ages is 70. How old is Doug?
2
ID: G
MPM1D - Strand A - Number Sense & Algebra
Answer Section
SHORT ANSWER
1. ANS:
a) x 9 + 14 = x 23
b) x 3 − 4 = x −1
c) x 5 × 5 = x 25
PTS: 1
2. ANS:
a) = 6x 2 + 6x − 5 − x 2 + 4x + 4
= 6x 2 − x 2 + 6x + 4x + 4 − 5
= 5x 2 + 10x − 1
b) = 7x 2 y + 6xy 2 − x 2 y
= 7x 2 y − x 2 y + 6xy 2
= 6x 2 y + 6xy 2
c) = −8x(−7x − 6) + 6x(6x + 4)
= 56x 2 + 48x + 36x 2 + 24x
= 56x 2 + 36x 2 + 48x + 24x
=92x 2 + 72x
PTS: 1
3. ANS:
x
−9
=
−6
7
ÊÁ x ˆ˜ ÊÁ −9 ˆ˜
−6 × ÁÁÁÁ ˜˜˜˜ = ÁÁÁ ˜˜˜˜ × −6
Ë −6 ¯ ÁË 7 ¯
54
x=
7
x = 7.71
PTS: 1
4. ANS:
x−7= 3
x −7+7 = 3+7
x = 10
PTS: 1
1
ID: G
5. ANS:
2x = 10
2x 10
=
2
2
x=5
PTS: 1
6. ANS:
TBD
PTS: 1
7. ANS:
∴Doug is 39 years old.
Josie is 31 years old.
PTS: 1
2
Name: ________________________
Attempt: __________
Proficiency Demonstrated: Sufficient Insufficient (Repeat Assessment) MPM1D - Strand A - Number Sense & Algebra
1. Express as a single power
2. Simplify the following
a) (x 6 )(x 20 )
a) −5x 2 − 2x − 5 + 4x 2 + 5x − 4
b) −3x 2 y − 2xy 2 + 4x 2 y
b) x 9 ÷ x 5
c) −4x(−3x − 6) − 2x(−5x − 4)
c) (x 2 ) 13
1
ID: H
Name: ________________________
ID: H
3. Solve for x:
5. Solve for x:
x −9
=
6 −2
3x = 21
4. Solve for x:
6. Solve for x:
–6(6x +6) = 2x–3
x−3= 6
7. Doug is 8 years older than Josie. The sum of their ages is 90. How old is Doug?
2
ID: H
MPM1D - Strand A - Number Sense & Algebra
Answer Section
SHORT ANSWER
1. ANS:
a) x 6 + 20 = x 26
b) x 9 − 5 = x 4
c) x 2 × 13 = x 26
PTS: 1
2. ANS:
a) = −5x 2 − 2x − 5 + 4x 2 + 5x − 4
= −5x 2 + 4x 2 − 2x + 5x − 4 − 5
= −x 2 + 3x − 9
b) = −3x 2 y − 2xy 2 + 4x 2 y
= −3x 2 y + 4x 2 y − 2xy 2
= x 2 y − 2xy 2
c) = −4x(−3x − 6) − 2x(−5x − 4)
= 12x 2 + 24x + 10x 2 + 8x
= 12x 2 + 10x 2 + 24x + 8x
=22x 2 + 32x
PTS: 1
3. ANS:
x −9
=
6 −2
ÊÁ x ˆ˜
6 × ÁÁÁÁ ˜˜˜˜ =
Ë6¯
ÊÁ −9 ˆ˜
ÁÁ ˜˜ × 6
ÁÁ −2 ˜˜
Ë ¯
−54
−2
x = 27
x=
PTS: 1
4. ANS:
x−3= 6
x −3+3 = 6+3
x=9
PTS: 1
1
ID: H
5. ANS:
3x = 21
3x 21
=
3
3
x=7
PTS: 1
6. ANS:
TBD
PTS: 1
7. ANS:
∴Doug is 49 years old.
Josie is 41 years old.
PTS: 1
2
Name: ________________________
Attempt: __________
Proficiency Demonstrated: Sufficient Insufficient (Repeat Assessment) MPM1D - Strand A - Number Sense & Algebra
1. Express as a single power
2. Simplify the following
a) (x 4 )(x 4 )
a) −x 2 − 5x − 7 − 4x 2 + x − 2
b) −6x 2 y − 5xy 2 − 4x 2 y
b) x 4 ÷ x 10
c) −3x(8x − 6) − 5x(−x − 2)
c) (x 6 ) 12
1
ID: I
Name: ________________________
ID: I
3. Solve for x:
5. Solve for x:
x
2
=
−8 −6
3x = 12
4. Solve for x:
6. Solve for x:
6(–3x –5) = 7x+4
x − 4 = 11
7. Doug is 4 years older than Josie. The sum of their ages is 88. How old is Doug?
2
ID: I
MPM1D - Strand A - Number Sense & Algebra
Answer Section
SHORT ANSWER
1. ANS:
a) x 4 + 4 = x 8
b) x 4 − 10 = x −6
c) x 6 × 12 = x 72
PTS: 1
2. ANS:
a) = −x 2 − 5x − 7 − 4x 2 + x − 2
= −x 2 − 4x 2 − 5x + x − 2 − 7
= −5x 2 − 4x − 9
b) = −6x 2 y − 5xy 2 − 4x 2 y
= −6x 2 y − 4x 2 y − 5xy 2
= –10x 2 y − 5xy 2
c) = −3x(8x − 6) − 5x(−x − 2)
= −24x 2 + 18x + 5x 2 + 10x
= −24x 2 + 5x 2 + 18x + 10x
=−19x 2 + 28x
PTS: 1
3. ANS:
x
2
=
−8 −6
ÊÁ x ˆ˜ ÊÁ 2 ˆ˜
−8 × ÁÁÁÁ ˜˜˜˜ = ÁÁÁ ˜˜˜˜ × −8
Ë −8 ¯ ÁË −6 ¯
−16
x=
−6
x = 2.67
PTS: 1
4. ANS:
x − 4 = 11
x − 4 + 4 = 11 + 4
x = 15
PTS: 1
1
ID: I
5. ANS:
3x = 12
3x 12
=
3
3
x=4
PTS: 1
6. ANS:
TBD
PTS: 1
7. ANS:
∴Doug is 46 years old.
Josie is 42 years old.
PTS: 1
2
Name: ________________________
Attempt: __________
Proficiency Demonstrated: Sufficient Insufficient (Repeat Assessment) MPM1D - Strand A - Number Sense & Algebra
1. Express as a single power
2. Simplify the following
a) (x 9 )(x 20 )
a) −3x 2 − 4x − 2 + 5x 2 − 2x − 2
b) −3x 2 y − 4xy 2 + 5x 2 y
b) x 17 ÷ x 3
c) −3x(6x − 8) − 4x(−3x − 2)
c) (x 3 ) 19
1
ID: J
Name: ________________________
ID: J
3. Solve for x:
5. Solve for x:
x 4
=
6 8
3x = 18
4. Solve for x:
6. Solve for x:
–1(–7x –2) = 2x+8
x−5= 2
7. Doug is 4 years older than Josie. The sum of their ages is 70. How old is Doug?
2
ID: J
MPM1D - Strand A - Number Sense & Algebra
Answer Section
SHORT ANSWER
1. ANS:
a) x 9 + 20 = x 29
b) x 17 − 3 = x 14
c) x 3 × 19 = x 57
PTS: 1
2. ANS:
a) = −3x 2 − 4x − 2 + 5x 2 − 2x − 2
= −3x 2 + 5x 2 − 4x − 2x − 2 − 2
= 2x 2 − 6x − 4
b) = −3x 2 y − 4xy 2 + 5x 2 y
= −3x 2 y + 5x 2 y − 4xy 2
= 2x 2 y − 4xy 2
c) = −3x(6x − 8) − 4x(−3x − 2)
= −18x 2 + 24x + 12x 2 + 8x
= −18x 2 + 12x 2 + 24x + 8x
=−6x 2 + 32x
PTS: 1
3. ANS:
x 4
=
6 8
ÊÁ x ˆ˜
6 × ÁÁÁÁ ˜˜˜˜ =
Ë6¯
ÊÁ 4 ˆ˜
ÁÁ ˜˜ × 6
ÁÁ 8 ˜˜
Ë ¯
24
8
x=3
x=
PTS: 1
4. ANS:
x−5= 2
x −5+5 = 2+5
x=7
PTS: 1
1
ID: J
5. ANS:
3x = 18
3x 18
=
3
3
x=6
PTS: 1
6. ANS:
TBD
PTS: 1
7. ANS:
∴Doug is 37 years old.
Josie is 33 years old.
PTS: 1
2

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