WorksheetsBenchmark Review
Total questions: 41
Worksheet time: 23mins
Drag the appropriate value into the space provided to complete the sentence. The sum of all the positive integers between √8 and ______ is 25.
√9
√13
√6
√5
√21
Consider the list of values: 4.3π, 2√15, π + 5.1, √28, √23. Which list orders the values from greatest to least on a horizontal number line?
√28, √23, 2√15, 4.3π, π + 5.1
√28, √23, 2√15, π + 5.1, 4.3π
4.3π, 2√15, √28, π + 5.1, √23
4.3π, π + 5.1, 2√15, √28, √23
Consider the list of numbers: 5.8 .Determine whether each number is irrational or rational.
Irrational
Rational
Consider the list of numbers: √16. Determine whether each number is irrational or rational.
Irrational
Rational
Consider the list of numbers: √8, Determine whether each number is irrational or rational.
Irrational
Rational
Consider the list of numbers: π Determine whether each number is irrational or rational.
Irrational
Rational
Consider the list of numbers: 12/51 Determine whether each number is irrational or rational.
Irrational
Rational
Which statement about the cost per pound of onions and tomatoes at Wayside Grocery Store is true?
Onions cost $0.05 more per pound than tomatoes.
Onions cost $0.15 more per pound than tomatoes.
Tomatoes cost $0.05 more per pound than onions.
Tomatoes cost $0.15 more per pound than onions.
Which statement about the cost per pound of apples and onions at Wayside Grocery Store is true?
Apples cost $0.30 less per pound than onions.
Apples cost $0.30 more per pound than onions.
Apples cost $0.80 less per pound than onions.
Apples cost $0.80 more per pound than onions.
Which statement is true?
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.
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.
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.
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.
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?
Graph A
Graph B
Graph C
Graph D
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?
The student should use the equation y = x - 8.
The student should use the equation y = x + 8.
The student should use the equation y = -x - 8.
The student should use the equation y = -x + 8.
The linear model y = 0.17x + 2.45 represents the data a principal collects to determine the relationship between the number of hours of sleep a student gets each night, x, and the student’s GPA, y. Based on the linear model, what GPA can be expected of a student who gets 9 hours of sleep each night?
1.53
2.62
3.75
3.98
Claire is solving the equation in the box for x. Which value of x will give Claire a true statement?
x = -3
x = -2
x = 2
x = 3
A student correctly solves the equation 15 - 6x - 7 = 3x + 6 - 9x. The first two steps are shown.
8 - 6x = 6 - 6x
8 = 6
Which statement correctly interprets the student's solution?
There are infinitely many solutions to the equation since 8 − 6 = 6 is a false statement.
There is no solution to the equation since 8 − 6 = 6 is a false statement.
The solution to the equation is z = 0.
The solution to the equation is the ordered pair (8,6).
A system of linear equations is given. y = z − 8 and y = 1/2z − 5. Which graph represents the solution set to the system of linear equations?
Graph 1
Graph 2
Graph 3
Graph 4
What is the x-value for the solution to the system of equations? Enter the answer as an integer value.
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?
4 bags
6 bags
7 bags
8 bags
Ms. Yardley wrote four sets of ordered pairs on the whiteboard for her math students. For which set is y a function of x?
(-3, -2), (3, -2), (2, 1), (0, 0)
(4, -2), (4, 2), (2, -4), (2, 4), (4, 4)
(-1, 2), (4, 3), (-1, 5), (-6, -2), (-2, 1)
(0, 2), (4, 5), (-3, -3), (0, -1), (6, -2)
Consider the two functions, Function 1 and Function 2. Which statement is true?
The y-intercept of Function 1 is equal to the y-intercept of Function 2
The y-intercept of Function 1 is greater than the y-intercept of Function 2
The y-intercept of Function 1 is less than the y-intercept of Function 2
The y-intercept of Function 2 does not exist, so it cannot be compared to Function 1
Determine if the equation is linear or nonlinear.
Equation: 6z (2 − z) = y
Linear
Nonlinear
Determine if the equation is linear or nonlinear.
Equation: 5z - 1 / 6 = y
Linear
Nonlinear
Determine if the equation is linear or nonlinear. Equation: -4z − 9y = −13
Linear
Nonlinear
Determine if the equation is linear or nonlinear.
Equation: y = −7z^2 − 10
Linear
Nonlinear
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?
t = 7s + 28
t = 28s + 35
t = 28s + 7
t = 35s + 28
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?
150 = 40t
150 = 60t
150 = t/2 - 20
150 = t/2 + 60
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?
Graph A
Graph B
Graph C
Graph D
Which statements are true? Select ALL that apply.
When z is between −6 and −4, the function is decreasing.
When z is between −6 and −4, the function is increasing.
When z is between −4 and 0, the function is linear.
When z is between 0 and 8, the function is linear.
When z is between 0 and 8, the function is nonlinear.
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?
Line segment Q'R' is 2 units long.
Line segment Q'R' is 5 units long.
Line segment S'T' is 4 units long.
Line segment S'T' is 10 units long.
Part B: Which statement is true?
Line segment Q'R' is parallel to line segment Q'T'.
Line segment R'S' is parallel to line segment Q'R'.
Line segment S'T' is parallel to line segment S'R'.
Line segment T'Q' is parallel to line segment S'R'.
Triangle MNP is the image of triangle JKL after a vertical translation of triangle JKL. Which statement is true?
The measure of angle N is equal to the measure of angle K.
The measure of angle N is greater than the measure of angle K.
The measure of angle N is less than the measure of angle K.
There is not enough information to determine a relationship between angle N and angle K.
Intersecting lines l, m, and n form a triangle. What is the value of x?
20
40
70
110
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?
The two triangles are congruent but not similar.
The two triangles are similar but not congruent.
The two triangles are congruent and similar.
The two triangles are neither congruent nor similar.
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
True
False
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
True
False
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
True
False
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
True
False
Which phrase best describes the data of this scatter plot?
linear association with clustering
negative nonlinear association
nonlinear association with outliers
positive linear association
Which data set most likely has no correlation?
the time spent on studying for a test and the test score
the color of your eyes and your shoe size
the increase of your paycheck and the number of hours you work
the increase in ice-cream sales and the rise in temperature
What is the best equation for the line of fit of these data?
y = 0.34x + 0.6
y = 0.6x + 0.34
y = 1.95x + 6.0
y = 6x + 1.95
A student rolls a fair 1 – 6 number cube and flips a coin. What is the probability that the number cube lands on an even number and the coin lands on heads?
1/2
1/4
1/8
1/12
