Download PA Midterm Ch 5-6 Review Handout

Name ____________________________________________________
Per ___
Pre-Algebra Midterm Review Ch 5 & 6
Date_________
Chapter 5 - Multi-Step Equations and Inequalities
5.1: Perimeter and Area
1. Write an expression that represents the area and perimeter of the following
shape (Remember to show formulas, substitution, and solution).
5 ft
(4x – 2) ft
Area:
Perimeter:
If the perimeter is 30 ft, what is the value of x?
2. The perimeters of the figures shown below are equal. Write an equation to find
the value of x.
3. The perimeter of a rectangle is 80 ft. The width is 13 ft. Find the length. Then find
the area of the rectangle.
5.3 & 5.4: Inequalities
Write an inequality for the graphs below.
4.
5.
5.2 & 5.5: Solving Multi-Step Equations and Inequalities
6. Find the value of x in each equation:
6x – 18 = 4x + 8
7x + 8 = 4x - 10
7. Mr. Swayze has a business selling snow-cones. Each month, he spends $30 on
cones and $80 on flavor syrup. He sells the snow-cones for $2.25 each. How many
snow-cones must he sell each month to make more money than he spent? (Define a
variable and write/solve an inequality.)
Chapter 6: Ratio, Proportion, & Similar Figures
8. Ruffles potato chips cost $2.29 for a 12 oz package. Lays potato chips cost $3.29
for a 16 oz package. Which is the better buy? Explain.
9. Nicole can usually type 55 words per minute. Today she typed 270 words in 5
minutes. Did she type more or less words per minute today? Use words and
numbers to explain your answer.
6.1 & 6.2: Ratios & Rates
10. Express the ratio 3 quarts to 2 gallons as a fraction in simplest form.
11. Express the ratio 45 minutes to 2 hours as a fraction in simplest form.
6.4: Proportional and Nonproportional Relationships
12. The time it takes an airplane to fly a given number of miles is shown in the
graph below. Is the total distance proportional to the time? Explain your answer.
13. A blue whale’s heart beats only 45 times in five minutes. If its heartbeat is
proportional to time, which of the following is an equivalent rate?
a. I time in 9 min
b. 80 times in 10 min
c. 135 times in 15 min
14. Dante can lay 22 bricks in 8 minutes. If the time is proportional to the number of
bricks laid, which of the following is NOT an equivalent rate?
a. 16 bricks in 44 min.
b. 11 bricks in 4 min.
c. 88 bricks in 32 min.
.
15. Do the following function tables indicate a proportional relationship? Explain.
a.
b.
x
10
15
20
25
y
2
3
4
5
x
4
8
16
32
y
2
4
6
8
6.5: Solving Proportions
Do the following pairs of ratios form proportions? Explain.
16.
17.
18.
19. Isaac bought 3 packs of gum for $4.20. How much would 5 packs cost?
20. The tailor can make 3 dresses using 10 yards of material. How many dresses
can be made using 24
yards of material?