Font size
WorksheetsMath 8 Review #1 (21-22 Benchmark)
Total questions: 20
Worksheet time: 36mins
Which value of 𝒙 makes the equation 𝟔(𝒙 − 𝟐) = 𝟑 − 𝟗𝒙 true?
−5
−35
31
1
Which statement is true?
All real numbers have decimal expansions.
Only fractions have decimal expansions.
Only integers and fractions have decimal expansions.
Only integers have decimal expansions.
Which table represents a nonlinear function?
Consider the graph.
Which statement is true?
When 𝑥 is between −2 and 1, the function is decreasing, and when 𝑥 is between 3 and 6, the function is decreasing.
When 𝑥 is between −2 and 1, the function is decreasing, and when 𝑥 is between 3 and 6, the function is increasing.
When 𝑥 is between −2 and 1, the function is increasing, and when 𝑥 is between 3 and 6, the function is decreasing.
When 𝑥 is between −2 and 1, the function is increasing, and when 𝑥 is between 3 and 6, the function is increasing.
Which table represents a function?
Triangles 𝑸𝑹𝑺 and 𝑺𝑻𝑼 are shown on the coordinate plane
The slope of QS is equivalent to the slope of SU because the ratio of 𝑅𝑆 to 𝑅𝑄 is equal to the ratio of 𝑆𝑈 to 𝑇𝑈.
The slope of QS is equivalent to the slope of SU because the ratio of 𝑅𝑆 to 𝑅𝑄 is equal to the ratio of T𝑈 to 𝑇S.
The slope of QS is equivalent to the slope of SU because the ratio of 𝑅𝑆 to ST is equal to the ratio of 𝑆T to 𝑇𝑈.
The slope of QS is equivalent to the slope of SU because the ratio of 𝑅𝑆 to ST is equal to the ratio of T𝑈 to 𝑇S.
A fencing company charges a one-time fee of $𝟏, 𝟓𝟎𝟎 for labor plus an additional $𝟓𝟓 per yard of fence. Which function represents the total cost, 𝑻, of installing 𝒔 yards of fencing?
𝑇 = 55𝑠 − 1,500
𝑇 = 55𝑠 + 1,500
𝑇 = 1,500𝑠 − 55
𝑇 = 1,500𝑠 + 55
A coach creates a scatter plot to show the number of free throws a player makes in a game and the number of shots the player practiced during the week before the game.
Which linear model best fits the data?
For a science experiment, two plants, starting at different heights, are given different types of fertilizers. At the start of the experiment, Plant 𝟏 is 𝟐 inches tall and grows at a rate of 𝟏. 𝟓 inches per week. The table represents the height of Plant 𝟐.
At the start of the experiment, how much taller is Plant 𝟐 than Plant 𝟏?
3.5 inches
3 inches
2 inches
1.5 inches
Parallelogram 𝑹𝑺𝑻𝑼 is located on the coordinate plane, and the measure of angle 𝑺 is 𝟗𝟖°. If the parallelogram is reflected across the 𝒙-axis to form parallelogram 𝑹′𝑺′𝑻′𝑼′, what is the measure of angle 𝑺′?
49°
82°
98°
196°
Which statement describes the solution(s) to the system of equations
𝟐𝒙 − 𝟑𝒚 = −𝟏𝟎 and −𝟔𝒙 + 𝟗𝒚 = −𝟏𝟎?
The system has one solution of (3, −13).
The system has one solution of (−3, 3).
The system has no solution.
The system has infinitely many solutions.
The two-way table shows the results of children’s ice cream orders at a summer camp.
Of the children who order a sundae, approximately what percentage get crushed candy?
17.1%
17.7%
27.3%
28.2%
A sphere has a radius of 𝟏𝟓 inches. What is the approximate volume of the sphere? (Use 𝟑. 𝟏𝟒 as an approximation of pi.)
942 cubic inches
188.4 cubic inches
3,532.5 cubic inches
14,130 cubic inches
In which equations is 𝒚 a nonlinear function of 𝒙? Select ALL that apply.
x+8=2y−3
y−5=−2(x−3)
y=x2+2x−3
2y+1=x
3y=2x
The table shows the amount of gas, in gallons, a truck has left after it is driven at a constant rate for a certain number of hours.
Which statement is true?
The truck initially has 9 gallons of gas, and each hour 3 gallons of gas are used.
The truck initially has 9 gallons of gas, and each hour 6 gallons of gas are used.
The truck initially has 18 gallons of gas, and each hour 3 gallons of gas are used.
The truck initially has 18 gallons of gas, and each hour 9 gallons of gas are used.
Consider the data points.
If the data points are correctly plotted on a scatter plot, which statement is true?
There is a mostly linear and positive association between the data points.
There is a mostly nonlinear and negative association between the data points.
There is no association between the data points.
There is not enough information to determine the association between the data points.
The linear model 𝒚 = 𝟓𝟒𝟎𝒙 + 𝟔𝟎𝟎 predicts the gallons of water in a swimming pool, 𝒚, after 𝒙 hours of being filled. Which statement is true about the linear model?
The pool initially contains 600 gallons of water.
The pool initially contains 1,140 gallons of water.
The pool is being filled at a rate of 600 gallons per hour.
The pool is being filled at a rate of 1,140 gallons per hour.
A student draws triangles 𝑲𝑳𝑴 and 𝑲′𝑳 ′𝑴′ on a coordinate plane.
Which sequence of transformations proves triangles 𝑲𝑳𝑴 and 𝑲′𝑳′𝑴′ are congruent?
Rotate triangle 𝐾𝐿𝑀 180° clockwise about the origin, then translate it up 2 units.
Rotate triangle 𝐾𝐿𝑀 90° clockwise about the origin, then translate it down 2 units
Reflect triangle 𝐾𝐿𝑀 across the 𝑦-axis, then translate it down 4 units and right 2 units.
Reflect triangle 𝐾𝐿𝑀 across the 𝑥-axis, then translate it down 4 units and right 2 units.
In a random survey, pet owners were asked if their dogs and cats were mixed breed or purebred. It was found that out of 𝟏𝟒 dogs and 𝟏𝟕 cats, 𝟑 of the dogs were purebred, and 𝟏𝟓 of the cats were mixed breed.
Based on the data, what value of 𝒙 correctly completes the two-way table?
3
11
12
28
Two swim teams sell tickets to earn money.
Which statement is true?
The Alpacas’ tickets cost more because The Alpacas sell their tickets for double the price per ticket of The Stingrays.
The Alpacas’ tickets cost more because The Alpacas sell their tickets for one-half the price per ticket of The Stingrays.
The Stingrays’ tickets cost more because The Stingrays sell their tickets for double the price per ticket of The Alpacas.
The Stingrays’ tickets cost more because The Stingrays sell their tickets for one-half the price per ticket of The Alpacas.
