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Chapter 2 Practice Test
Simplify:
1. 5a + 3 – 4a – 6
2. 3(2x – 1) + 5(x + 2)
Solve using the Addition Property of Equality:
3. x – 4 = 9
4. x + 3.2 = 4.1
5. x +
1
3
=
2
8
Solve using Multiplication Property of Equality:
2
−3
6.
x=6
7.
x = 30
3
5
Solve the Linear Equations using a Successful Strategy:
8. 3x – 4 = 11
9. 5x – 7 = x – 1
10. 3x – 4x + 7x = 15 – 21
11. 3(x + 6) = 27
13. –2(x + 9) = 20
12. 3(y + 5) = 5(2y – 4)
14. –0.3(x – 8) = 0.2(x – 3)
15. Use the formula y = 3x – 2 to find x when y = 4.
16. Solve for h: A = bh
17. Solve for y: 4x + 5y = 12
18. What percent of 36 is 27?
19. One number is 9 more than another number. If their sum is 25, find the numbers.
20. The length of a rectangle is 5 centimeters more than twice the width. The perimeter
is 44 centimeters. Find the width and length.
Chapter 2 Practice Test
Solutions
Simplify:
1. 5a + 3 – 4a – 6
(5a - 4a) + (3 - 6)
1a + (-3)
a-3
2. 3(2x – 1) + 5(x + 2)
6x - 3 + 5x + 10
(6x + 5x) + (-3 + 10)
11x + 7
Solve using the Addition Property of Equality:
3. x – 4 = 9
x-4+4=9+4
x = 13
x + 3.2 = 4.1
x + 3.2 - 3.2 = 4.1 - 3.2
x = 0.9
1
3
=
2
8
x + 1/2 - 1/2 = 3/8 - 1/2
x = 3/8 - 4/8
x = -1/8
5. x +
Solve using Multiplication Property of Equality:
2
−3
6.
x=6
7.
x = 30
3
5
æ3ö 2
æ3ö
æ −5ö −3
æ −5ö
x=ç
ç ÷ x = ç ÷6
÷30
ç
÷
è2ø 3
è2ø
è 3 ø 5
è 3 ø
æ3ö 6 3
x=ç ÷
è2ø1
1
9
x= =9
1
æ − 5 ö 30 10
x=ç
÷
è 3 ø 1
1
− 50
= −50
x=
1
Solve the Linear Equations using a Successful Strategy:
8. 3x – 4 = 11
3x - 4 + 4 = 11 + 4
3x = 15
3x 15
=
3
3
x =5
9. 5x – 7 = x – 1
5x − 7 − x = x − 1 − x
4 x − 7 = −1
4 x − 7 + 7 = −1 + 7
4x = 6
4x 6
=
4 4
6 3
x= =
4 2
10. 3x – 4x + 7x = 15 – 21
− 1x + 7 x = −6
6 x = −6
6x − 6
=
6
6
x = −1
11. 3(x + 6) = 27
3 x + 18 = 27
3 x + 18 − 18 = 27 − 18
3x = 9
3x 9
=
3 3
x=3
12. 3(y + 5) = 5(2y – 4)
3 y + 15 = 10 y − 20
3 y + 15 − 10 y = 10 y − 20 − 10 y
− 7 y + 15 = −20
− 7 y + 15 − 15 = −20 − 15
− 7 y = −35
− 7 y − 35
=
−7
−7
y=5
Chapter 2 Practice Test
13. –2(x + 9) = 20
− 2 x − 18 = 20
− 2 x − 18 + 18 = 20 + 18
− 2 x = 38
− 2 x 38
=
−2 −2
x = −19
14. –0.3(x – 8) = 0.2(x – 3)
− 0.3 x + 2.4 = 0.2 x − 0.6
− 3 x + 24 = 2 x − 6
− 3 x + 24 − 2 x = 2 x − 6 − 2 x
− 5 x + 24 = −6
− 5 x + 24 − 24 = −6 − 24
− 5 x = −30
− 5 x − 30
=
−5
−5
x=6
15. Use the formula y = 3x – 2 to find x when y = 4.
y = 3x − 2
4 = 3x − 2
4 + 2 = 3x − 2 + 2
6 = 3x
6 3x
=
3 3
2=x
x=2
16. Solve for h: A = bh
A = bh
A bh
=
b
b
A
=h
b
17. Solve for y: 4x + 5y = 12
4 x + 5 y = 12
4 x + 5 y − 4 x = 12 − 4 x
5 y = −4 x + 12
5 y − 4 x 12
=
+
5
5
5
−4
12
y=
x+
5
5
18. What percent of 36 is 27?
x% ⋅ 36 = 27
36 27
x% ⋅
=
36 36
27 3
x% =
=
36 4
x
= 0.75
100
(100) x = (100)0.75
100
x = 75
75% of 36 is 27.
19. One number is 9 more than another number. If their sum is 25, find the numbers.
Let one number be x. Let the other number be y.
x=y+9
x + y = 25
Use substitution of the first equation into the second equation.
y + 9 + y = 25
2y + 9 = 25
2y + 9 - 9 = 25 - 9
2y = 16
y=8
20. The length of a rectangle is 5 centimeters more than twice the width. The perimeter
is 40 centimeters. Find the width and length.
Let the length of the rectangle be l. Let the width of the rectangle be w.
l =2w + 5
P = 2l + 2w
40 = 2l + 2w
Chapter 2 Practice Test
Use substitution of the first equation into the second equation.
40 = 2(2w + 5) + 2w
40 = 4w + 10 + 2w
40 = 6w + 10
40 - 10 = 6w + 10 - 10
30 = 6w
5=w
Since l = 2w + 5 and we know the w = 5
l = 2(5) + 5
l = 10 + 5 = 15
The length of the rectangle is 15cm and the width is 5cm.