Robin helped her mom set a banquet table for dinner. She noticed that the width of the table was a fourth of its length. If the width is 8 feet, write and solve an equation to determine its length.
4L = 8; L = 2 feet
L over 4 equals 8; L = 32 feet
4 + L = 8; L = 4 feet
L − 4 = 8; L = 12 feet
Question 2(Multiple Choice Worth 2 points)
(Solving One-Step Equations with Integers LC)
Given the equation negative 26 equals y over 13, solve for y.
−2
2
−338
388
Question 3(Multiple Choice Worth 2 points)
(Evaluating Equations MC)
Determine which answer in the solution set will make the equation true.
5f − 14 = 4f − 16
S: {−16, −2, 2, 4}
−16
−2
2
4
Question 4(Multiple Choice Worth 2 points)
(Translating Algebraic Inequalities MC)
There are more than 360 different breeds of dogs recognized worldwide.
Which inequality represents this statement?
x > 360
x < 360
x ≥ 360
x ≤ 360
Question 5(Multiple Choice Worth 2 points)
(Translating Algebraic Inequalities MC)
Casey has no more than 52 model toy cars in his collection.
Which graph represents the number of cars in the collection?
number line with open circle on point 52, shaded left
number line with closed circle on point 52, shaded left
number line with closed circle on point 52, shaded right
number line with open circle on point 52, shaded right
Question 6(Multiple Choice Worth 2 points)
(Writing One-Step Equations with Integers MC)
Greg earned $32 dollars for washing cars this month. He earned twice as much for washing cars than he did for mowing lawns. Write an equation to determine how much he earned for mowing lawns.
2m = 32
m + 2 = 32
m − 2 = 32
m over 2 equals 32
Question 7(Multiple Choice Worth 2 points)
(Writing One-Step Equations with Integers MC)
Roaring Zoo has 57 different species of birds. Because of cold weather, only 25 species stayed at the zoo, while the others were transported to the barn until warmer weather returned.
Which equation shows how many species of birds were transported?
b + 25 = 57
b − 25 = 57
b + 57 = 25
b − 57 = 25
Question 8(Multiple Choice Worth 2 points)
(Solving One-Step Equations with Rational Numbers LC)
Given the equation 13.25y = 79.5, determine the value of y.
6.00
66.25
92.75
1053.38
Question 9(Multiple Choice Worth 2 points)
(Solving One-Step Equations with Rational Numbers LC)
Given the equation k over 34.2 equals 8.7, determine the value of k.
25.5
297.54
3.93
42.9
Question 10(Multiple Choice Worth 2 points)
(Solving One-Step Equations with Integers LC)
Solve for x in the equation x + 8 = −19.
27
19
−11
−27
Question 11(Multiple Choice Worth 2 points)
(Evaluating Inequalities LC)
Given the inequality 3x ≤ 24, determine the value of x.
S:{11}
S:{8}
S:{15}
S:{34}
Question 12(Multiple Choice Worth 2 points)
(Evaluating Inequalities MC)
Given the inequality 5(n − 4) < 4(n + 15), determine which integer makes the inequality false.
S:{80}
S:{15}
S:{5}
S:{−9}
Question 13(Multiple Choice Worth 2 points)
(Writing One-Step Equations with Integers MC)
Liz wanted to buy a new book. When she checked the price last week, it was $19. This week, the same book was listed for $22. Write and solve an equation to show how much the book increased in price.
22 = p + 19; p = $3
22 = p − 19; p = $41
19 + p = 41; p = $22
2p = 22; p = $11
Question 14(Multiple Choice Worth 2 points)
(Solving One-Step Equations with Rational Numbers LC)
Determine the value of h in the equation one seventh plus h equals nine sevenths.
eight over forty nine
ten over forty nine
eight sevenths
ten sevenths
Question 15(Multiple Choice Worth 2 points)
(Evaluating Equations MC)
Determine which equation is false, based on the solution set S:{3}.
2t = 6
2(2c + 1) = 14
4m + 5 = 12
8 = 3p − 1