Free Printable 2/28: Benchmark Review

1.

Find the change in both y and x to determine the slope/rate of change of the table.

a)

2/3

b)

3/2

c)

+3

d)

-3

e)

+2

f)

-2

1

2

3

1)

2)

3)

2.

If I see a question on the STAAR but I'm not sure what to do which of the following should I probably use for the best help?

a)

The ceiling, there is always some good advice on the ceiling

b)

The tried and true 'eenie minie moe' method

c)

The one and only DESMOS

3.

The graph of part of linear function gis shown on the grid.

a)

F

b)

G

c)

H

d)

J

4.

Some of the values for two linear equations are shown in the tables below.

a)

( -2, 4 )

b)

( -2, -4 )

c)

( -6, 10 )

d)

(10, 2 )

5.

Which of the following is the solution for this system of linear equations?

a)

No Solution

b)

( -3, 4 )

c)

( 1, -2 )

d)

( 2, 1 )

6.

A pool is leaking water at a constant rate of 0.2 gallons per hour. The pool began with 4,125 gallons.

Write a function, p(x), that can be used to find the amount of water in the pool after x hours.

$p\left(x\right)=$ (a) $x\ +$ (b)

Choose from the below words

-0.2

4,125

-4,125

0.2

5

7.

The total cost, C, of renting a car is $25 per day plus an initial fee of $100. Which equation best describes this relationship if d represents the number of days the car is rented?

a)

C=100d-25

b)

C=100d+25

c)

C=25d+100

d)

C=25d-100

8.

Consider the following word problem. A job opening at Chik Fil A offers to pay $15 per hour plus a $50 hiring bonus.

(a) is the number that repeats (slope)

(b) is the one time fee (y-intercept)

Choose from the below words

15

50

9.

Given the table, write the equation in the slope-intercept form. (a)

Choose from the below words

y = 1/3x + 6

y = 3x + 6

y = 2x + 6

y = 1/2x + 6

10.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

11.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

12.

The water level in a tank is changing at a constant rate. The graph shows the relationship between time in hours, x, and the water level in meters, y.

The water level (a) at a rate of (b) meters per hour.

Choose from the below words

decreases

increases

0.25

1

4

13.

x + 1 + 3x

a)

3x + 1

b)

4x + 1

c)

3x + 4

d)

5x + 3

14.

Given $10=3x-5$

find the value of x.

a)

$25$

b)

$5$

c)

$\frac{5}{3}$

d)

$-\frac{5}{3}$

e)

infinite solutions $\infty$

15.

What is the range of this function? (a)

Choose from the below words

-4 ≤ y ≤ 5

-1 ≤ x ≤ 3

All Real Numbers

y ≥ -4

16.

Does the quadratic have a max/min vertex, and does the graph open up/down? (a)

Choose from the below words

max/ opens down

min/ opens up

max/ opens up

min/ opens down

17.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

vertex

18.

Factor:
x² - 15x + 50

a)

(x - 10)(x - 15)

b)

(x - 10)(x - 5)

c)

(x - 25)²

d)

(x - 5)²

19.

What is the solution to the system of equations?

Select ONE correct answer.

A

B

C

D

E

20.

Graph a line with a y-intercept of 3 and a zero of -2.

21.

Which letter represents the slope in the equation $y=mx+b$

a)

y

b)

m

c)

x

d)

b

22.

Slope is:

a)

$\frac{rise}{run}$

b)

$\frac{run}{rise}$

23.

What is the x-intercept?

a)

(2,0)

b)

(0,2)

c)

(0,0)

d)

None of the above

24.

What is the y-intercept?

a)

(0,-1)

b)

(-1,0)

c)

(4,0)

d)

(0,4)

25.

Which of the following is another name for x-intercept?

a)

Slope

b)

Rate of Change

c)

Zero

d)

Linear Function

26.

Give the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

27.

Sara is practicing her golf swing. Based on the graph of the golf ball's flight path, about how far from the golfer did ball travel when it hit the ground?

a)

6 feet

b)

110 feet

c)

36 feet

d)

230 feet

28.

Match the following

a)

1.

Positive Slope

b)

2.

Negative Slope

c)

3.

Slope = 0

29.

A sequence is defined by $f\left(1\right)=81$ and $f\left(n\right)=\frac{1}{3}f\left(n-1\right)$ for each whole number 'n', where n>1.

Reorder the numbers below according to the proper sequence given above

STRATEGY: What is the 1st number? Are the numbers getting bigger or smaller

a)

81

b)

27

c)

9

d)

3

e)

1

1)

2)

3)

4)

5)

30.

Match the following graphs with the correct domain and range

[A.R.N.=All real numbers]

a)

1.

DOMAIN: A.R.N.

RANGE: A.R.N.

b)

2.

DOMAIN: A.R.N.

RANGE: $y>0$

c)

3.

DOMAIN: A.R.N.

RANGE: $y\ge0$

31.

Match each equation with the correct attribute

a)

$y=-2x+2$

1.

Slope = -2

b)

$y=2x+6$

2.

Y-Intercept = 6

c)

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

3.

Slope = -1/2

d)

$y=2x-2$

4.

Y-Intercept = -2

e)

$y=6x-\frac{1}{2}$

5.

Slope = 6

32.

Label the x & y intercepts of the graph

a)

x-intercept

b)

y-intercept

1

2

1)

2)

33.

Graph the line that has a slope of $\frac{1}{5}$ and goes through the point $\left(2,-2\right)$

34.

Graph a line that has slope of $-\frac{3}{2}$ and has a y-intercept of $7$

35.

Graph the line $y=2x-5$

36.

Graph a line with an x-intercept of -4 and a y-intercept of 6.

37.

The graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan.

Which statement describes the x-intercept of the graph?

a)

The x-intercept is 60, which represents the initial balance in dollars of the loan.

b)

The x-intercept is 27,000, which represents the initial balance in dollars of the loan.

c)

The x-intercept is 60, which represents the number of monthly payments needed to repay the loan.

d)

The x-intercept is 27,000, which represents the number of monthly payments needed to repay the loan.

38.

Quadratic function h can be used to model the height in feet of a rocket from the ground t seconds after it was launched. The graph of the function is shown.

What is the maximum value of the graph of the function?

(a)

39.

Which graph best represents a function with a domain of all real numbers less than or equal to 6?

a)

b)

c)

d)

40.

What is the value of the y-intercept of the graph of $g\left(x\right)=73\left(\frac{4}{5}\right)^x$ ?

(a)

41.

A part of linear function $g$ is graphed on the grid.

Which inequality best describes the domain and range of the part shown?

a)

Domain: $-4<x<5$

Range: $-7<g\left(x\right)<6$

b)

Domain: $-7<x<6$

Range: $-4<g\left(x\right)<5$

c)

Domain: $-4\le x\le5$

Range: $-7\le g\left(x\right)\le6$

d)

Domain: $-7\le x\le6$

Range: $-4\le g\left(x\right)\le5$

42.

A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies.

• Each black-and-white copy cost $0.08.

• Each color copy cost $0.15.

Which system of equations can be used to find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop?

a)

$b+c=6.00$

$0.08b+0.15c=68$

b)

$b+c=68$

$0.15b+0.08c=6.00$

c)

$b+c=6.00$

$0.15b+0.08c=68$

d)

$b+c=68$

$0.08b+0.15c=6.00$

43.

The graph shows the number of game consoles sold in 2009.

Based on this information, which function best models the number of game consoles sold in millions $x$ years since 2009?

a)

$g\left(x\right)=0.6\left(25.5\right)^x$

b)

$g\left(x\right)=25.5\left(0.6\right)^x$

c)

$g\left(x\right)=6.12\left(25.5\right)$

d)

$g\left(x\right)=25.5\left(6.12\right)^x$

44.

The graph of linear function $g$ passes through the points $\left(-7,-4\right)$ and $\left(7,6\right)$ , as shown.

What are the slope and y-intercept of the graph of $g$ ?

a)

The slope is $\frac{5}{7}$ , and the y-intercept is $-1$ .

b)

The slope is $\frac{5}{7}$ , and the y-intercept is $1$ .

c)

The slope is $\frac{7}{5}$ , and the y-intercept is $-1$ .

d)

The slope is $\frac{7}{5}$ , and the y-intercept is $1$ .

45.

Which expression is equivalent to $\left(x^9yz^4\right)^5$ ?

a)

$x^{14}y^6z^9$

b)

$x^{14}y^5z^9$

c)

$x^{45}yz^{20}$

d)

$x^{45}y^5z^{20}$

46.

The graph of a linear function is shown on the grid.

Which function is best represented by this graph?

a)

$g\left(x\right)=6x+4$

b)

$g\left(x\right)=4x-\frac{2}{3}$

c)

$g\left(x\right)=-\frac{3}{2}x+6$

d)

$g\left(x\right)=-\frac{2}{3}x+4$

47.

Which expression is equivalent to $\sqrt[]{184}$

a)

$92$

b)

$2\sqrt[]{46}$

c)

$4\sqrt[]{23}$

d)

$4\sqrt[]{46}$

48.

Which of the following shows the graphs of f(x)=x and g(x)=3f(x)

STRATEGY: type BOTH equations into desmos completely

a)

b)

c)

d)

2/28: Benchmark Review

Total questions: 48

Worksheet time: 2hrs 58mins

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