Free Printable CBA Review, Algebra 21-22

1.

The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.

Based on the table, which function models this situation?

a)

$f\left(n\right)=-3n+24$

b)

$f\left(n\right)=-\frac{1}{3}n+16$

c)

$f\left(n\right)=-3n+64$

d)

$f\left(n\right)=-\frac{1}{3}n+8$

2.

The graph of $f\left(x\right)=x^{ }$ was transformed to create the graph of $g\left(x\right)=f\left(x\right)-9$ .

Which statement about the graphs is true?

a)

The graph of g is a reflection of the graph of f across the x-axis.

b)

The vertex of the graph of g is 9 units to the right of the vertex of the graph of f.

c)

The graph of g is a reflection of the graph of f across the y-axis.

d)

The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

3.

The graph of a linear function k passes through the points (-7, 0) and (1, 8).

Which statement must be true?

a)

The slope of the graph of k is $-\frac{4}{3}$ .

b)

The graph of k passes through the point (-1, -8).

c)

The zero of k is 7.

d)

The x-intercept of the graph of k is -7.

4.

The table shows a linear relationship between x and y.

What is the rate of change of y with respect to x?

a)

$-\frac{9}{2}$

b)

$\frac{2}{9}$

c)

$-\frac{2}{9}$

d)

$\frac{9}{2}$

5.

What is the solution to $-\left(6m+18\right)=4\left(17-m\right)$ ?

(a)

6.

What is the domain of the given graph?

a)

$1\le x\le4$

b)

$1<y<4$

c)

$1<x<4$

d)

$1\le y\le4$

7.

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total of 264 cm in 11 secs.

What is the time in seconds the toy robot moves when the total distance is 408 cm?

a)

24s

b)

17s

c)

13s

d)

37s

8.

Which of the following lines goes through the point (-3, 4) and is perpendicular to $y\ =\ \frac{3}{2}x\ +\ 6\ ?$

a)

$y\ =\ \frac{2}{3}x\ +\ 3$

b)

$y\ =\ -\frac{2}{3}x\ -\ 2$

c)

$y\ =\ -\frac{2}{3}x+\ 2$

d)

$y\ =\ \frac{3}{2}x\ -\ 6$

9.

Which line has a zero of -5

and a y-intercept

of 3?

a)

F

b)

G

c)

H

d)

J

10.

What is the slope of a

line parallel to the line

y = -9x - 2?

a)

-2

b)

$\frac{1}{9}$

c)

$-9$

d)

$\frac{1}{2}$

11.

If the parent function $y=x$ is transformed to have a slope of $\frac{2}{3}$ and a y-intercept of 4, then which is true?

a)

The new line is stretched and translated down.

b)

The new line is compressed and translated up.

c)

The new line is steeper than the original and the y-intercept has been translated up.

d)

The new line is less steep than the original and the y-intercept has been translated down.

12.

Which representation shows y as a function of x?

a)

b)

c)

d)

13.

Which statement about the lines f and g shown in the grid is true ?

a)

Line f and Line g have the same y-intercept

b)

Line f and Line g have the same slope

c)

Line f and line g have the same x-intercepts

d)

Line f and line g are parallel lines

14.

What type of correlation the scatter plot shows?

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

Non-linear correlation

15.

What is the slope of the linear equation $f\left(x\right)=3$ ?

a)

$3$

b)

$Zero$

c)

$3x$

d)

$Undefined$

16.

What is the slope of linear equation x=-4 ?

a)

Undefined

b)

Zero

c)

-4

d)

-1/4

17.

What is the solution to the equation shown?

3x + 2 = x + 8

a)

- 5

b)

3

c)

4

d)

8

18.

It is $72\degree F$ at the 5,000-foot level of a mountain, and $38\degree F$ at the 11,000-foot level of the mountain.

Write a linear equation to find the temperature T at an elevation x on the mountain, where x is in feet.

a)

$T=100.33x-0.0056$

b)

$T=-176.47x+17705.9$

c)

$T=17705.9x+176.47$

d)

$T=-0.0056x+100.33$

19.

Which equation has a graph that is parallel to the graph

$y=\frac{1}{4}x+7$ and passes through the point (- 12, 2)?

a)

$y=-4x-4$

b)

$y=-4x-46$

c)

$y=\frac{1}{4}x+5$

d)

$y=\frac{1}{4}x-\frac{25}{2}$

20.

Which equation is best represented by the graph?

a)

$y\ +\ 2\ =\ \frac{7}{5}\left(x\ +\ 7\right)$

b)

$y\ -\ 2\ =\ \frac{7}{5}\left(x\ -\ 7\right)$

c)

$y\ +\ 2\ =\ \frac{5}{7}\left(x\ +\ 7\right)$

d)

$y\ -\ 2\ =\ \frac{5}{7}\left(x\ -\ 7\right)$

21.

Write the equation of a line that passes through the point

(-2, 3) and has a slope of 4.

a)

y = 4x + 11

b)

y = -2x + 3

c)

y = -4x + 1

d)

y = 4x - 2

22.

What is the solution to:

5x - 7x - 14 = 2x + 6?

a)

2

b)

- 5

c)

- 10

d)

- 4

23.

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds.

What is the time in seconds the toy robot moves when the total distance is 408 centimeters?

a)

24s

b)

17s

c)

13s

d)

37s

24.

Given the function $f(x)=4x-5$ , what is the value of $f\left(\frac{9}{4}\right)$ ?

a)

$14$

b)

$\frac{4}{9}$

c)

$4$

d)

$-\frac{9}{2}$

25.

A sequence can be generated by using a_n = a_{(n − 1)} + 10, where a₁ = 23 and n is a whole number greater than 1. What are the first five terms in the sequence?

a)

33, 43, 53, 63, 73

b)

23, 33, 43, 53, 63

c)

23, 230, 2300, 23000, 230000

d)

23, 13, 3, −7, −17

26.

Which scatterplot most likely has a line of best fit represented by $y=-2x+1$ ?

a)

W

b)

X

c)

Y

d)

Z

27.

A teacher made the following graph showing the number of hours that a student studied for an exam versus their exam grade. Predict the grade of a student if they studied for 3.5 hours.

a)

80

b)

100

c)

85

d)

90

28.

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?

a)

50 min

b)

80 min

c)

45 min

d)

60 min

29.

Which graph represents data that has a correlation coefficient close to -1?

a)

b)

c)

d)

30.

In a science lab, Thelma determined the kinetic energy of an object at various velocities, V, and found the correlation coefficient between kinetic energy and velocity to be 0.872. Which graph shows this relationship?

a)