Download Answer Key Chapter 3 and 4 Review

Name ____________________________________________________
Per ___ Date_________
Midterm Review 2016-2017 Ch 3 & 4
Chapter 3: Operations With Rational Numbers
1. Iggy the Inchworm can crawl 2 yds. per hour. He has already crawled
of the
way. How far has Iggy crawled? How much further does Iggy need to go?
7
Crawled 1 yards
8
2. Felicia needs 1
Needs to go
5
yards
8
yds material for her cheer outfit. She has
of the material. How
much material does she have? How much more does she need?
Felicia has
11
yards
18
2
Felicia needs 1 yards
9
3.1 :Fractions and decimals.
Replace the ____ with the symbol (<, >, =) that makes a true sentence.
3.
____>__ 0.2
4.
__>___ 0.45
__<___ 0. 63
5.
6.
___=__ 0.50
Write each fraction as a decimal in simplest form.
7.
=
0.6
8.
=
0.83
9.
=0.375
3.2 : Rational Numbers
Write each decimal as a fraction or mixed number in simplest form.
10.
0 .55=
11
20
11.
3.62= 3
31
50
12.
0.04=
1
25
13. Last night, Jada read 0.24 of her book. Write this decimal as a fraction in simplest
form.
24
6

100 25
3.3 - 3.5: Multiplying, Dividing, Adding & Subtracting Rational Numbers
Find the sum, difference, product or quotient.
14.
15.
16.

3
10
17.
17
20
20.
4
15
1
12
18.
19.
7
8
3
14
21.
22.


5
1
1
4
4
15
1
 1
14
14
19
50
23. Explain how the number line can be used to calculate the sum
24. Explain how the number line can be used to calculate the difference
1
1
4
2
Chapter 4: Expressions & Equations
25. Shivam wants to buy a bicycle that costs $200. He saves $37 each week from the
money he earns mowing lawns. He also saves $15 from his birthday money. How many
weeks will it take Shivam to save enough to buy his bicycle? Define your variable, write
an equation to model the situation, and solve.
Let w = # of weeks needed 15 + 37w = 200
37w = 185
w=5
It will take 5 weeks for Shivam to save enough.
1
4
26. Three families went to Great Adventure together. There were eight people
altogether. Altogether they paid $224 while at the amusement park. Each person spent
$8 on food. How much did each person pay for admission?
Define your variable, write an equation, and solve.
Let a = amount each person paid for admission
8 (8) + 8 a = 224
64 + 8a = 224
8a = 160
a = 20
Each person paid $20 for admission.
4.1: The Distributive Property
Use the distributive property to rewrite the expressions.
27.
-5(3x + 4)
-15x – 20 _
28. 6(3a – 5)
__18a – 30
4.2: Simplifying Algebraic Expressions
Write a variable expression for each phrase.
29. The sum of a and b
___a + b ____
30. The product of x and y ____xy__
31. The quotient of h and k ____h/k____
Simplify the expressions.
33.
6y -3(y- 4) + 2y Distribute first
32. The difference of a and b __a – b __
34.
5n + 3 – n – 8 Combine like terms
6y – 3y + 12 + 2y Combine like terms
5y + 12
35.
-2(m – 2) + 5m -3 Distribute first
-2m + 4 + 5m – 3 Combine like terms
3m + 1
4n – 5
36.
4(2x + 3) – 8x -5 Distribute first
8x + 12 – 8x – 5 Combine like terms
7
4.3-4.5 : Solving Equations
Solve the following equations.
37.
2y + 8 – 7 = 9
38.
2y + 1 = 9
2y = 8
y=4
39.
6x – 4 – 5x = 10
x – 4 = 10
x = 14
3(x + 4) + x = 32 Distribute first
3x + 12 + x = 32
4x + 12 = 32
4x = 20
X=5
40.
9(x - 2) + 3 – 4x = 20
9x – 18 + 3 – 4x = 20
5x – 15 = 20
5x = 35
X=7
41. Jillian and Sam are solving the equation 5x – 2(x + 4) = 10. Is either of them
correct? Explain your reasoning.
Jillian:
5x – 2(x + 4) = 10
5x – 2x + 4 = 10
3x + 4 = 10
3x = 6
x=2
Sam:
5x – 2(x + 4) = 10
5x – 2x – 8 = 10
3x – 8 = 10
3x = 18
x=6
Jillian did not distribute completely.
Sam is correct because he distributed and
subtracted correctly.