ARE YOU READY?
8th Grade Pre-Algebra Chapter 3
Name:
Date:
Skills
Solve the following equations showing ALL work. Check your solution.
1.) −3𝑞 − 74 = 82
5.)
Block:
−6(2𝑤 + 2) = −36
2.)
𝑤
4
− 21 = −3
3.)
𝑥
5 − 2 = 14
6.) −45 = 5(2𝑘 − 7) − 15𝑘
4.) 3(2 + 6𝑏) = 18𝑏
7.) −7𝑔 − (9 − 2𝑔) = 46
8.) 4𝑏 + 9 + 2(𝑏 − 5) = 41
9.) 4 + 3𝑥 = 3(𝑥 + 2)
10.) 17ℎ − 47 + 6ℎ = 160
11.) 9𝑛 + 64 = −144 − 17𝑛
12.) 8(4𝑝 + 1) = 32𝑝 + 8
13.) 2(−4ℎ − 13) = 37 + 13ℎ
Write the verbal sentence as an equation. Then solve the equation.
14.) Five minus the product of 2 and a
number is 21.
15.) Negative 23 minus the product of 3 and a
number is 19.
16.) Nine plus twice a number is equal to 7 less
than three times the number.
Applications
17.) Twelve less than -9 times a number is
equal to 48 minus 4 times the number.
Answer the following questions showing ALL WORK necessary! Be sure to label
your answer when necessary.
Find the value of x for the given square, rectangle, or triangle.
18.)
P= 88 units
19.)
P= 54 units
20.) P= 25 units
2
7
𝑥+4
𝑥
𝑥+3
𝑥+6
𝑥+4
Find the perimeter of the square or equilateral triangle.
21.)
Solve for x
Substitute
Find the perimeter
Solve for x
Substitute
Find the perimeter
3𝑥 − 5
2𝑥
22.)
2𝑥 + 5
4𝑥 − 3
Define a variable, write an equation, and solve.
23.) A car rental company charges a flat fee of
$145 and $0.40 per mile to rent an SUV. If the total
cost to rent the SUV for a trip was $245, how many
miles were driven?
24.) Your friend bought a box of spaghetti for $1.59
and 2 jars of spaghetti sauce. The total cost was
$6.49. Find the cost of one jar of sauce.
25.) One cell phone provider charges a monthly fee
of $75.50. You are also charged $0.25 per text. Last
month your bill was $135.50. How many texts did
you use last month?
26.) A pizza oven costs $36. The ingredients to make one
27.) Your brother works as a server at a local
restaurant. His income consists of an hourly wage plus
tips. On Wednesday, your brother earned $25 in tips
over a 5 hour period. On Friday, your brother earned
$30.76 in tips over a 3 hour period. How much is your
brother’s hourly wage if he earned the same amount
of money on Wednesday as on Friday?
28.) You and your sister are saving money for a
summer camp. You begin with $5 and save $11
each week. Your sister begins with $23 and saves
$8 each week. How many weeks until you and your
sister have saved the same amount?
Writing
pizza costs $2.50. A pizza purchased at the store costs
$6.50 How many pizzas will you have to make for the cost
of making pizzas to be equal to the cost of buying pizzas
at the store?
Answer the following questions in complete sentences. Be sure to use correct math
terminology.
29.)
How can you tell when the solution to an equation is identity (all numbers)? Give an example
of such an equation.
30.)
Explain to in words how you would solve the following equation:
𝟒(𝟐𝒙 + 𝟖) = 𝟐𝟒