Vocabulary
A letter that represents an unknown number
variable
What is the solution to the equation 4 + (1/2)x − 8 = 12?
A. x = 4
B. x = 8
C. x = 16
D. x = 32
D. x = 32
Solve the inequality −6x + 8 > 20.
Which inequality represents the solution?
A. x < −2
B. x > −2
C. x ≤ −2
D. x ≥ −2
A. x < −2
The employee offices and break room in an office building cover an area of 7,000 square feet. Each employee office takes up 125 square feet, and the break room takes up 750 square feet.
Which equation can be used to find x, the number of employee offices?
A. 125x + 750 = 7,000
B. 750x + 125 = 7,000
C. 125x − 750 = 7,000
D. 750x − 125 = 7,000
A. 125x + 750 = 7,000
A number that does not have a variable
Constant
What is the solution to 3x + 2x + 20 = 50?
A. x = 6
B. x = 14
C. x = 5
D. x = 25
A. x = 6
Solve the inequality −6k + 6 < −48.
Which inequality represents the solution?
A. k > 9
B. k < 9
C. k ≥ 9
D. k ≤ 9
A. k > 9
Maggie has a $50 gift card that she will use to purchase games for her phone. Each game costs $1.99. She has a coupon code for $5 off her entire purchase.
Which equation can be used to find x, the maximum number of games Maggie can purchase?
A. 50 = 1.99 − 5x
B. 50 = 1.99 + 5x
C. 50 = 1.99x + 5
D. 50 = 1.99x − 5
D. 50 = 1.99x − 5
The number multiplied by the variable
Coefficient
Which equation is true when x = −3?
A. 5x + 1 = 16
B. 4x − 8 = 12
C. −2x + 9 = −12
D. 3x − 6 = −15
D. 3x − 6 = −15
Which inequality represents all possible values of x for 7x + 5 − 10x < 4?
A. x > 1/3
B. x > −3
C. x < 1/3
D. x < −3
A. x > 1/3
Arnold can spend no more than $450 on a party at a movie theater. The fee to rent the theater is $150, and the food will cost $12 per guest.
What is the solution set that represents x, the number of guests that can attend the party?
A. x ≥ 50
B. x ≤ 50
C. x ≥ 25
D. x ≤ 25
D. x ≤ 25
A mathematical statement showing that two expressions are equal
Equation
Which equation is true when x = 11?
A. −2x + 18 = −4
B. 5 + x = 6
C. x − 9 = −2
D. −7 + 8x = 11
A. −2x + 18 = −4
Which number line best represents the solution to the inequality −4x + 29 > 19?
A. Open circle at −2.5, shade left
B. Closed circle at −2.5, shade left
C. Open circle at 2.5, shade left
D. Open circle at 2.5, shade right
C. Open circle at 2.5, shade left
A student rode a bicycle fewer than 30 miles during a period of 5 days. The student rode 8 miles on Monday and m miles each day from Tuesday through Friday.
Which inequality represents all possible values of m?
A. 8 + 4m < 30
B. 8 + 4m > 30
C. 8 − 4m > 30
D. 8 − 4m < 30
A. 8 + 4m < 30
A mathematical sentence that compares the relative size or value of two quantities using comparison signs instead of an equals sign
Inequality
Determine whether each equation is true or not true when m = −5.
4m − 6 = 14
−2m + 7 = 17
4m − 6 = −26
−2m + 7 = −3
A. Not True, True, True, Not True
B. True, Not True, True, Not True
C. Not True, Not True, True, True
D. True, True, Not True, Not True
A. Not True, True, True, Not True
What is the solution set for each inequality?
−3x + 9 < 18
4x − 24 > 12
A. x < −3 and x < 9
B. x > −3 and x > 9
C. x < −3 and x > 9
D. x > −3 and x < 9
B. x > −3 and x > 9
Which situation could NOT be represented by the inequality 2x + 5 ≤ 25?
A. Keisha has $25 to spend at a fair. She spends $5 to get into the fair. She spends $2 on each ride ticket. What is x, the greatest number of ride tickets Keisha can buy?
B. Keisha has $25 to spend at a fair. She spends $5 to buy a slice of pizza. She spends $2 to play each game. What is x, the greatest number of games Keisha can play?
C. Hannah has $25 to spend on school supplies. She will spend $5 on each notebook and $2 on one package of paper. What is x, the greatest number of notebooks Hannah can buy?
D. Hannah has $25 to spend on school supplies. She will spend $5 on one planner and $2 on each package of pencils. What is x, the greatest number of packages of pencils Hannah can buy?
C. Hannah has $25 to spend on school supplies. She will spend $5 on each notebook and $2 on one package of paper. What is x, the greatest number of notebooks Hannah can buy?