Download PA Midterm Ch 3-4 Review Handout

Name ____________________________________________________
Per ___ Date_________
Pre-Algebra Midterm Review Ch 3 & 4
Chapter 3: Operations With Rational Numbers
1. Iggy the Inchworm can crawl 2 yds. He has already crawled
of the way. How
far has Iggy crawled? How much further does Iggy need to go?
2. Felicia needs 1
yds material for her cheer outfit. She has
of the material.
How much material does she have? How much more does she need?
3.1 : Fractions and Decimals
Replace the ____ with the symbol (<, >, =) that makes a true sentence.
3.
______0.2
4.
_____ 0.45
5.
_____ 0. 63
6.
Write each fraction as a decimal.
7.
8.
9.
3.2 : Rational Numbers
Write each decimal as a fraction or mixed number in simplest form.
10.
0 .55
11.
3.62
12.
0.04
_____ 0.50
13. Last night, Jada read 0.24 of her book. Write this decimal as a fraction in
simplest form.
3.3 - 3.5: Multiplying, Dividing, Adding & Subtracting Rational Numbers
Find the sum, difference, product or quotient.
14.
15.
16.
17.
20.
18.
19.
21.
22.
23. Show how the number line can be used to calculate the sum
24. Show how the number line can be used to calculate the sum
Chapter 4: Expressions & Equations
25. Shivam wants to buy a bicycle that costs $200. He saves $33 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.
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.
4.1: The Distributive Property
Use the distributive property to rewrite the expressions.
27.
-5(3x + 4)
____________________
28. 6(3a – 5)
_________________________
4.2: Simplifying Algebraic Expressions
Write a variable expression for each phrase.
29. The sum of a and b
_______________ 30. The product of x and y ___________
31. The quotient of h and k _______________
32. The difference of a and b ________
Simplify the expressions.
33.
6y -3(y- 4) + 2y
34.
5n + 3 – n - 8
35.
-2(m – 2) + 5m -3
36.
4(2x + 3) – 8x -5
4.3-4.5: Solving Equations
Solve the following equations.
37.
2y + 8 – 7 = 9
38.
3(x + 4) + x = 32
39.
40.
9(x - 2) + 3 – 4x = 20
6x – 4 – 5x = 10
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