Free Printable Benchmark 2 Review (10th grade)

1.

Which of the following statements is true?

a)

$\frac{15+8}{20}$ is rational because 15 + 8 is greater than 20

b)

$\frac{15+8}{20}$ is irrational it is an irreducible fraction

c)

$\frac{15+8}{20}$ is rational because both 15 + 8 and 20 are integers

d)

$\frac{15+8}{20}\$ is irrational because neither 15 + 8 nor 20 are integers

2.

On a certain day, the price of oysters was $25 per pound. The graph below shows how the total cost of potatoes depends on the amount purchased.

What is the cost of 8 pounds of oysters were bought?

a)

$825

b)

$200

c)

$100

d)

$250

e)

$100

3.

A teacher is comparing the amount of words typed and time spent typing. Complete the table by filling in the typing speed, in words per minute. Round each value to the nearest whole.

Student A ---> (500 words, 9 minutes) Typing Speed: (a)

Student B ---> (625 words, 13 minutes) Typing Speed: (b)

Student C ---> (955 words, 22 minutes) Typing Speed: (c)

Choose from the below words

56

48

43

55

4,500

8,125

21,010

0.018

0.0208

0.0230

4.

For the following, choose the BEST level of accuracy for each situation described.

a)

A stapler

1.

Nearest $0.01

b)

A brand new TV

2.

Nearest $1

c)

A car made in 2022

3.

Nearest $1000

5.

The population of a small town is changing according to the following function

$P=3,200\left(1.10\right)^x$

where P is the population and x is the number of years

In the equation, the 3,200 represents the town's (a)

The population of the Parish is (b) by (c)

Choose from the below words

initial population

increasing

10%

population

population after x years

1%

110%

decreasing

6.

Your new computer costs $1500 but it depreciates in value by about 18% each year. Which equation represents the value of your computer (V) after 4 years

a)

$V=1500\left(0.18\right)^4$

b)

$V=1500\left(0.82\right)^4$

c)

$V=1500+0.18^4$

d)

$V=1500+0.82^4$

7.

Carol sets up an appointment with a guitar store because she wants to buy a guitar and take guitar lessons. The store clerk chargers $300 for the guitar and $25 an hour for lessons. Which of these represents an inequality she can use to solve for the number of hours of guitar lessons Carol can take if she wants to spend no more than $500?

a)

$25x+300\le500$

b)

$25x+300\ge500$

c)

$300x+25\le500$

d)

$300x+25\ge500$

8.

A painter does a paint job for three different homes during the fall season. The table lists how much the painter charged for each of the painted homes.

Write an equation that can be used to model how much the painter charges for a paint job. Use the variables a and h (no spaces)

(a)

9.

The table shows the relationship between the x and y values.

Write a function, in slope intercept form, that represents this table of values.

Remember to include y=

(a)

10.

Mr. Jones decided to start saving money to buy a new car. Mr. Jones began the month of January with $700 saved. For the month of February, he decided to save an additional $100 per week.

Which graph shows the total amount of dollars saved, D, based on the number of weeks Mr. Jones spent saving during the month of February.

a)

b)

c)

d)

11.

A store sells paper in medium and large boxes. A large box has 6 times as much paper as a medium box. Mr. Grand buys 4 medium boxes and 2 large boxes, for a total of 3600 sheets of paper.

Mr. Grand sets up a system of equations to model this situation. One of the equations is y=6x. What is the other equation?

Enter your answer in ax + by = c, where a and b are whole numbers with no common factor other than 1.

(a)

12.

Lily wants to plant apple and lemon trees in her garden. If she would like to plant at least 20 trees, but less than 8 lemon trees, which of the following systems of inequalities represents that situation.

Let A represent apple trees and L represent lemon trees.

a)

$A+L\le20\ and\ L<8$

b)

$A+L\ge20\ and\ L<8$

c)

$A+L\le20\ and\ L>8$

d)

$A+L\ge20\ and\ L>8$

13.

Mr. Jones wrote the equation $-3x=5x+16$

What is the value of x in the equation?

a)

$x=2$

b)

$x=-2$

c)

$x=\frac{1}{2}$

d)

$x=-\frac{1}{2}$

14.

What is the solution to the inequality?

$7x<5x-10$

a)

$x<5$

b)

$x>5$

c)

$x\le5$

d)

$x\ge5$

15.

What is the y-value of the solution to this system of equations?

$-5x-8y=17$

$2x-7y=-17$

a)

-5

b)

1

c)

5

d)

-1

16.

Functions f(x) and g(x) are defined as shown

$f\left(x\right)=\frac{6}{7}x+4$

$g\left(x\right)=-\frac{1}{4}x+8$

What is the solution to the equation $\frac{6}{7}x+4=-\frac{1}{4}x+8$ . Round to three decimal places.

a)

$x=3.613$

b)

$x\ =\ 7.097$

c)

$x=6.588$

d)

$x=9.647$

Benchmark 2 Review (10th grade)

Total questions: 16

Worksheet time: 11mins

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