Expression
Word Problems
Inequality
Date from a table
Equation
100
3 + 4(2x +5)
3 + 8x + 5 8x + 8
100
Chris won at most 300 tickets at an arcade game. He spent 128 tickets on a ball and the rest on gum. Each piece of gum was 25 tickets. Which inequality can be used to determine the greatest number of pieces of gum Chris could have purchased? A. 128+25g≤300 B. 128+25g≥300 C. 128−25g≤300 D. 128−25g≥300
A. 128+25g≤300
100
Solve the following 2x - 4 > 14
x> 9
100
The number of students in 6th grade who chose basketball is how many times as small as the number of students who chose basketball in 8th grade?
0.875
100
7d - 5 = 9
7d = 14 d = 2
200
5 - 2(3x - 5)
5 - 6x + 10 -6x + 15
200
Erica goes to a carnival. - The admission cost is $5. - Each game ticket costs $0.50. - Erica can spend no more than $20 at the carnival. Which value would be in the solution set of the number of game tickets, Erica can buy? A. 16 B. 24 C. 30 D. 32 E. 36
A, B, C
200
4x + 5 = 17
x = 3
200
The number of students in 7th grade who chose track is how many times as great as the number of students who chose track in 8th grade?
1.2
200
-3d + 4 = -5
-3d = -9 d= 3
300
1/3(18x + 7 - 36x)
18x/3 + 7/3 - 36x/3 6x + 7/3 - 9x 7/3 -3x
300
Matt and his friends paid $30 for 4 sandwiches and 4 bottles of water. -Each sandwich cost the same amount. - The bottles of water cost $2 each. Write and solve an equation to solve.
4(x + 2)=30 or 4x + 4(2)=30 x= 5.50
300
A store rents bikes for $10 per hour and an $18 deposit. If Leondre has $80, what is the maximum number of hours for which he can rent a bike?
10h + 18 <= 80 10h <= 62 h <= 6.2 6 hours
300
The number of students in 6th grade who chose soccer is how many times as great as the number of students who chose soccer in 7th grade?
1.25
300
Sam makes $400 per week plus $20 commission on each new cell phone plan she sells. Write an equation to determine how many new plans she sold to earn $680 last week.
400 + 20c = 680 20c = 280 c = 14
400
Which expressions are equivalent to 2.5 – 4(1.5 – 10) + 3? Select all that apply. a) 2.5 + 4(-1.5 + 10) + 3 b) 2.5 – 4 + 3(1.5 – 10) c) 2.5 – 4(10 – 1.5) + 3 d) 3 + 2.5 – 4(1.5 – 10) e) -4(1.5 – 10) + 3 + 2.5 f) 4 – 2.5(1.5 – 10) + 3
a, d, e
400
Ben rented a bike for 4 hours, there was a $10 deposit to pay addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65
4h + 10 <= 65 4h <= 55 h <= 13.75
400
Jacob went to a carnival. -The admission cost is $5. - Each game ticket cost $0.50 - Jacob only has $20 to spend. Which values below would be included in the solution set to the situation? Select all that apply. 32 B) 30 C) 28 D) 26
0.5t + 5 <= 20 t <= 30 B, C, D
400
Represent the number of students in each grade that chose track as a fraction. Order the grades from greatest to least.
6th, 7th, 8th
400
An orchard sells bags of apples. Each bag has 10 green apples and x red apples. Michelle bought 5 bags of apples. She bought a total of 80 apples. Write an equation that can be used to find x, the number of red apples in each bag. Solve.
5(10 + r) = 80 50 + 5r = 80 5r = 30 r= 6
500
(3x + 12) - (7x - 8)
3x + 12 - 7x + 8 -4x + 20
500
The cooking club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale. Each pie was then cut into five pieces and sold. There were a total of 60 pieces to sell. How many pies did the club make?
5x + 5(4) =60 or 5x + 20 = 60 5x + 20 = 60 5x = 40 x= 8
500
Joseph had less than $13.00 to spend when he went to the grocery store. He bought 1 pound of tomatoes and wanted to spend the rest of his money on potatoes. One pound of tomatoes costs $2.50 and one pound of potatoes costs $2.10. Which inequality shows how many pounds of potatoes, x, Joseph can buy?
2.50 + 2.10x < 13.00 2.10x < 10.50 x < 5
500
Represent the number of students in each grade that chose soccer as a decimal. Order the grades from least to greatest.
6th, 8th, 7th
500
Ashley and Kayla pick apples. ● Each apple weighs 6 ounces. ● Ashley picks 16 apples. ● Kayla picks k apples. ● The total weight of apples picked by both girls combined is 204 ounces. Write an equation that can be used to find k, the number of apples Kayla picked. Solve your equation.
6(k + 16) = 204 6k + 96 = 204 6k = 108 k = 18
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