Equations and Solutions
y + 7 = 11
Is 5 the solution? Explain how you know.
yes
#1
Four less than p is sixteen. What is the value of p?
A. 4
B. 12
C. 20
D. 64
C. 20
#7
Solve each equation
−4x = 16
x = -4
#3
Solve each equation. Check your solution.
8.2 = x − 5.8
x = 14
graph x < −1
B
#11
b/5 = 15
Is 3 the solution? Explain how you know.
No
#2
Solve each equation
63 = p + 475
p = -412
#6
Write an algebraic equation for each word phrase. Solve the equation.
The product of seven and x is twenty-one.
7𝑥 = 21 𝑥 = 3
#10
Solve each equation. Check your solution.
1.5y = 6.3
y = 4.2
Write an inequality for the statement: Jena’s height (h) is less than 5 feet.
𝑥 + 32 − 2𝑥 = 19
Is 13 the solution?
Yes
Solve each equation and name the inverse operation used to solve the problem.
x − 6 = 4
x= 10 Addition
#11
Leon bought 4 granola bars for $2. The equation 4x = 2 represents his purchase. How much did each granola bar cost?
A. $8
B. $6
C. $2
D. $0.50
D. $0.50
#2
What is the solution of the following addition equation? t + 2.8 = 3.25
A. t = 4.5
B. t = 0.45
C. t = 6.05
D. t = 9.1
B. t = 0.45
#3
Write and graph an inequality for the statement: Julian has more than 9 pairs of sneakers
J > 9
#16
Carlos collected tickets to concerts he went to. This year he went to 4 concerts. He has now been to 17 concerts. If t equals the number of concerts he had been to before this year, which equation represents this situation?
A. t = 17 + 4
B. t = 4 − 17
C. 17 = t + 4
D. 4 = t + 17
C
#5
Write an algebraic equation for each word phrase. Solve the equation.
The sum of m and sixteen is twenty.
𝑚 + 16 = 20 𝑚 = 4
#9
Solve each equation and name the inverse operation used to solve the problem.
y/3 = 7
#12
Solve each equation.
3/8 + a = 1 1/8
#8
Determine which of the following values makes the inequality 𝑥 + 2 ≥ 1 true: −3, −1, 0, 2
-1, 0, 2
Select the equations where y = 3 is the solution. Circle all that apply.
A. y − 2 = −5
D. y + 5 = 8
E. 15 − y = 12
F. 5y = 18
D, E
#1
Noah has $14 more than his brother Jared. Jared has $51. How much money does Noah have?
$65
#14
Elena rode her bike 25 miles in four days. She rode the same distance every day. Let m represent the number of miles Elena rode each day.
a. Write an equation using all of the information given, including the variable.
b. How many miles did Elena ride each day?
a. 4𝑚 = 25
b. 6.25 miles each day
#13
Samuel bought four adult tickets to a movie for $48. Erica bought 3 adult tickets to a movie at a different theater. Erica paid $2.50 more than Samuel for each movie ticket she bought. How much did Erica spend on her movie ticket purchase?
#15
Which values are part of the solution set for the inequality 6 > 2x − 1? Select all that apply.
A. –2
B. 4
C. 0
D. 6
E. –7
A, C, E
#9