Name__________________________________________________Date__________PD______________
RETAKE REVIEW -Expressions and Equations -RETAKE REVIEW
Define the variable, write an equation and solve. (#1-4)
1) Three more than five times a
number is the same as thirty more than
twice the number. Find the number.
2) Mega Middle School sells wrapping
paper to raise money for student
activities. The school keeps half of all
sales, minus $300 for prizes to top sellers.
How much wrapping paper must be sold
for the school to earn $5000?
3) 8 more than a certain number is 10
less than twice the number. Find the
number.
4) The French club is sponsoring a bake
sale. If their goal is to raise $440, how
many pastries must they sell at $2.50
each in order to meet that goal?
Write an inequality for each sentence below and then solve and check it.
5) The product of -6 and a number is less
than 24.
7) The quotient of g and -9 is at least 81.
6)
The width of a rectangle is 30
centimeters more than the length. The
perimeter is no more than 776
centimeters. Write and solve an
inequality to find the length of the
rectangle.
8) A third of d is less than or equal to 16.
Solve, graph, and check the following inequalities.
9)
-4 ³
x
-2
-6
11) Solve.
9
x - x + 6 = 11
10
10)
12)
-5x < -52 - x
Solve and simplify.
7
( 4m - 8 ) = 14
9
13) Find three consecutive integers such that the sum of twice the smallest and 3
times the largest is 126. List the three consecutive numbers.
14) Give an example for the following:
*Commutative Property of Addition __________________________________________
*Distributive Property of Subtraction ______________________________________
*Associative Property of Multiplication ______________________________________
*Associative Property of Addition __________________________________________
*Distributive Property of Addition
__________________________________
*Commutative Property of Multiplication
15) If x =
-2a - 6
_______________________________
and y = -2 - 7a , what is the value of
x - y?
Show
substitution.
16) Solve and show work
5
- m = 30
9
17) Solve and show work.
-4 - 2(5a + 7) = 5 - (10 - a)
18) Define the variable, write an equation and solve.
The length of a rectangle is 2cm less than seven times the width. The
perimeter is 60 cm. Find the dimensions of the rectangle. Show work.
19) Which two expressions are equivalent?
20) Three consecutive numbers are added together and then their sum is multiplied
by three.
Some of the equations below represent the total using algebra. Check all that apply.
Support your answers by showing work:
The total of the equation above is 162. What are the three consecutive numbers?
Explain your answer.
21) What is the factored form of −6𝑥 − 30?
22) A regular hexagon has a perimeter of
18x + 6. What is the length of each side?