Quiz about Benchmark Review

Question 1

Consider the list of numbers: 5.8 .Determine whether each number is irrational or rational.

Accepted Answer

Rational

Answer

Irrational

Question 2

Consider the list of numbers: 12/51 Determine whether each number is irrational or rational.

Accepted Answer

Rational

Answer

Irrational

Question 3

Which statement about the cost per pound of onions and tomatoes at Wayside Grocery Store is true?

Accepted Answer

Tomatoes cost $0.05 more per pound than onions.

Answer

Onions cost $0.05 more per pound than tomatoes.

Answer

Onions cost $0.15 more per pound than tomatoes.

Answer

Tomatoes cost $0.15 more per pound than onions.

Question 4

Which statement about the cost per pound of apples and onions at Wayside Grocery Store is true?

Accepted Answer

Apples cost $0.30 more per pound than onions.

Answer

Apples cost $0.30 less per pound than onions.

Answer

Apples cost $0.80 less per pound than onions.

Answer

Apples cost $0.80 more per pound than onions.

Question 5

Which statement is true?

Accepted Answer

The slope of line segment QS is equal to the slope of line segment SU because the ratio of QR to QS is equivalent to the ratio of TU to ST.

Answer

The slope of line segment QS is not equal to the slope of line segment SU because the ratio of RS to QR is not equivalent to the ratio of TU to ST.

Answer

The slope of line segment QS is equal to the slope of line segment SU because the ratio of RS to QR is equivalent to the ratio of ST to SU.

Answer

The slope of line segment QS is equal to the slope of line segment SU because the ratio of RS to QR is equivalent to the ratio of TU to ST.

Question 6

A shark swims 30 miles every hour. Which graph best represents the proportional relationship between the total distance, y, in miles, the shark travels x hours since being tracked?

Accepted Answer

Graph A

Answer

Graph B

Answer

Graph C

Answer

Graph D

Question 7

Consider the graph of the equation y = x that intersects the y-axis at the origin. If a student, instead, wants the line to intersect the y-axis at (0, -8), which statement is true?

Accepted Answer

The student should use the equation y = x - 8.

Answer

The student should use the equation y = x + 8.

Answer

The student should use the equation y = -x - 8.

Answer

The student should use the equation y = -x + 8.

Question 8

Claire is solving the equation in the box for x. Which value of x will give Claire a true statement?

Accepted Answer

x = 2

Answer

x = -3

Answer

x = -2

Answer

x = 3

Question 9

Gavin needs to buy candy for the 11 students in his class plus himself. Gavin and each student will get one bag of candy. He uses $20 to buy two different types of candy. Gavin buys x bags of gummy bears that cost $1.50 per bag and y bags of chocolates that cost $2.00 per bag. The system of equations used to represent this situation is graphed, as shown. How many bags of gummy bears does Gavin buy?

Accepted Answer

8 bags

Answer

4 bags

Answer

6 bags

Answer

7 bags

Question 10

Ms. Yardley wrote four sets of ordered pairs on the whiteboard for her math students. For which set is y a function of x?

Accepted Answer

(-3, -2), (3, -2), (2, 1), (0, 0)

Answer

(4, -2), (4, 2), (2, -4), (2, 4), (4, 4)

Answer

(-1, 2), (4, 3), (-1, 5), (-6, -2), (-2, 1)

Answer

(0, 2), (4, 5), (-3, -3), (0, -1), (6, -2)

Question 11

Consider the two functions, Function 1 and Function 2. Which statement is true?

Accepted Answer

The y-intercept of Function 1 is equal to the y-intercept of Function 2

Answer

The y-intercept of Function 1 is greater than the y-intercept of Function 2

Answer

The y-intercept of Function 1 is less than the y-intercept of Function 2

Answer

The y-intercept of Function 2 does not exist, so it cannot be compared to Function 1

Question 12

Determine if the equation is linear or nonlinear.

Equation: 5z - 1 / 6 = y

Accepted Answer

Linear

Answer

Nonlinear

Question 13

A manager orders laptop covers for some employees. - Each laptop cover costs $28. - There is a one-time shipping fee of $7. Which function can be used to find t, the total amount the manager pays, in dollars, when s laptop covers are ordered?

Accepted Answer

t = 28s + 7

Answer

t = 7s + 28

Answer

t = 28s + 35

Answer

t = 35s + 28

Question 14

Terrence drove to his sister's house, a distance of d miles. For the first 150 miles, he was able to drive relatively quickly, at 60 miles per hour. For the remaining distance, the road was rougher, and he had to slow his speed by 20 miles per hour. For each part of the journey, he was able to keep a steady speed. The time he spent driving at the faster speed was twice the time he spent driving at the slower speed. Which equation can be used to find t, the time to drive the first 150 miles?

Accepted Answer

150 = 60t

Answer

150 = 40t

Answer

150 = t/2 - 20

Answer

150 = t/2 + 60

Question 15

A student leaves home and walks at a constant rate to a friend's apartment before heading to school. The student stops at the friend's apartment for a period of time before continuing the walk at a faster pace. Which graph best represents the distance the student walked since leaving home?

Accepted Answer

Graph A

Answer

Graph B

Answer

Graph C

Answer

Graph D

Question 16

Parallelogram QRST is translated 10 units right and reflected across the x-axis to form parallelogram Q'R'S'T'. Part A: Which statement is true?

Accepted Answer

Line segment Q'R' is 5 units long.

Answer

Line segment Q'R' is 2 units long.

Answer

Line segment S'T' is 4 units long.

Answer

Line segment S'T' is 10 units long.

Question 17

Part B: Which statement is true?

Accepted Answer

Line segment T'Q' is parallel to line segment S'R'.

Answer

Line segment Q'R' is parallel to line segment Q'T'.

Answer

Line segment R'S' is parallel to line segment Q'R'.

Answer

Line segment S'T' is parallel to line segment S'R'.

Question 18

Triangle MNP is the image of triangle JKL after a vertical translation of triangle JKL. Which statement is true?

Accepted Answer

The measure of angle N is equal to the measure of angle K.

Answer

The measure of angle N is greater than the measure of angle K.

Answer

The measure of angle N is less than the measure of angle K.

Answer

There is not enough information to determine a relationship between angle N and angle K.

Question 19

Intersecting lines l, m, and n form a triangle. What is the value of x?

Accepted Answer

70

Answer

20

Answer

40

Answer

110

Question 20

A triangle drawn on a coordinate grid is dilated by a scale factor of 3 about the point (1, 2). Which statement regarding the original triangle and the resulting image is correct?

Accepted Answer

The two triangles are similar but not congruent.

Answer

The two triangles are congruent but not similar.

Answer

The two triangles are congruent and similar.

Answer

The two triangles are neither congruent nor similar.

Question 21

Determine whether each statement about the linear model is true or false.

Each day the pumpkin is expected to increase by an average of 0.22 pound

Accepted Answer

True

Answer

False

Question 22

Determine whether each statement about the linear model is true or false.

Each day the pumpkin is expected to increase by an average of 5.68 pounds

Accepted Answer

False

Answer

True

Question 23

Determine whether each statement about the linear model is true or false.

The total weight of the pumpkin at the beginning of the month is approximately 0.22 pound

Accepted Answer

False

Answer

True

Question 24

Determine whether each statement about the linear model is true or false.

The total weight of the pumpkin at the beginning of the month is approximately 5.68 pounds

Accepted Answer

True

Answer

False

Question 25

Which phrase best describes the data of this scatter plot?

Accepted Answer

negative nonlinear association

Answer

linear association with clustering

Answer

nonlinear association with outliers

Answer

positive linear association

Question 26

Which data set most likely has no correlation?

Accepted Answer

the color of your eyes and your shoe size

Answer

the time spent on studying for a test and the test score

Answer

the increase of your paycheck and the number of hours you work

Answer

the increase in ice-cream sales and the rise in temperature

Question 27

What is the best equation for the line of fit of these data?

Accepted Answer

y = 0.34x + 0.6

Answer

y = 0.6x + 0.34

Answer

y = 1.95x + 6.0

Answer

y = 6x + 1.95

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