Free Printable Unit 3B Review

1.

What is the solution to the equation?

$11x-4\left(3x-2\right)=5\left(x-2\right)$

*Type the number only.*

(a)

2.

What is the equation of a line that passes through $\left(-6,\ 10\right)$ and has a slope of zero?

a)

$x=-6$

b)

$x=10$

c)

$y=10$

d)

$y=-6$

3.

Two points are plotted on the grid.

Which equation in Slope-Intercept Form best represents the line that passes through these two points?

a)

$y=-\frac{2}{7}x+\frac{2}{3}$

b)

$y=-\frac{7}{2}x+\frac{3}{2}$

c)

$y=\frac{3}{2}x-\frac{7}{2}$

d)

$y=\frac{2}{3}x-\frac{2}{7}$

4.

The table shows the duration of a geyser eruption and the time until the next eruption.

What does the correlation coefficient for the data indicate about the strength of the linear association between the length of eruptions and the time between them?

a)

Strong positive correlation

b)

Weak positive correlation

c)

Strong negative correlation

d)

Weak negative correlation

5.

The first five terms in a pattern are shown below.

$0.5,\ -0.25,\ -1,\ -1.75,\ -2.5,\ ...$

If the pattern continues, which expression can be used to find the $nth$ term?

a)

$-0.25n+1.25$

b)

$-0.75n+0.5$

c)

$-0.25n+0.5$

d)

$-0.75n+1.25$

6.

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

Which equation is best represented by this graph?

a)

$5x+y=-1$

b)

$5x+y=1$

c)

$5x-y=1$

d)

$5x-y=-1$

7.

What is the equation in slope-intercept form of the line that passes through the point $\left(10,\ -8\right)$ and is perpendicular to the line represented by $y=\frac{5}{6}x+1?$

a)

$y=-\frac{6}{5}x-\frac{49}{3}$

b)

$y=-\frac{6}{5}x+4$

c)

$y=\frac{6}{5}x-20$

d)

$y=\frac{5}{6}x-\frac{49}{3}$

8.

The table and scatter plot shows the hard drive capacities in gigabytes and the price in dollars for laptops.

What is the best prediction of the price of a 16 gigabyte hard drive?

a)

$1,778

b)

$1,669

c)

$1,887

d)

$1,556

9.

The table shows the linear relationship between the number of foam hands ordered and the cost of ordering them.

The rate of change is $ (a) per foam hand.

10.

In a sequence of numbers, $a_4=28,\ a_5=40,\ a_6=52,\ a_7=64,\$ and $a_8=76.$

Based on this information, which equation can be used to find the $nth$ term in the sequence, $a_n?$

a)

$a_n=20n-12$

b)

$a_n=-12n+20$

c)

$a_n=12n-20$

d)

$a_n=-20n+12$

11.

Which situation shows causation?

a)

The more pencils a student has, the better grades they make.

b)

The more minutes you run on a treadmill, the more calories you will burn.

c)

When the water an athlete drinks increases, the points they score in a basketball game.

d)

The more hats a person owns, the bigger the size of their head.

12.

The table shows the length and cost of boats. A linear function can model the data.

Based on the table, what is the best prediction of the cost of a 23 foot boat?

a)

about $77,000

b)

about $65,000

c)

about $118,000

d)

about $74,000

13.

Picture frames cost $14.99 per frame The company that sells the frames charges a flat rate shipping fee of $11.90, no matter the number of frames purchased in a single order.

Write a linear function that models the total cost, $t,$ for a single order of $f$ frames.

a)

$f=26.89t$

b)

$f=14.99t+11.90$

c)

$t=14.99f+11.90$

d)

$t=26.89f$

14.

A student is riding his bike to the recreation center. The graph shows the distance from the recreation center as a linear function of x, the time he has been riding his bike.

Which answer choice best describes the domain and range of the function for this situation?

a)

D: {28}

R: {9}

b)

D: {9}

R: {28}

c)

D: All real numbers greater than or equal to 0 and less than or equal to 28

R: All real numbers greater than or equal to 0 and less than or equal to 9

d)

D: All real numbers greater than or equal to 0 and less than or equal to 9

R: All real numbers greater than or equal to 0 and less than or equal to 28

15.

The table shows the amount of money remaining in a college student's bank account as a function of the number of days that have passed since getting paid.

Based on the table, which function best models this situation?

a)

$f\left(n\right)=350+25n$

b)

$f\left(n\right)=325-25n$

c)

$f\left(n\right)=350-25n$

d)

$f\left(n\right)=325+25n$

16.

Which equation in standard form has a graph that passes through $\left(-4,\ -22\right)$ and has a slope of $\frac{7}{2}?$

a)

$7x-2y=16$

b)

$7x-2y=-146$

c)

$7x-2y=-16$

d)

$7x-2y=146$

17.

The table represents some points on the graph of a linear function.

Write a linear function in Slope-Intercept Form that represents the same relationship.

(a)

18.

What is the equation in slope-intercept form of the line that passes through the points $\left(-30,\ -9\right)$ and $\left(45,\ 26\right)?$

a)

$y=\frac{7}{15}x+5$

b)

$y=-\frac{7}{15}x-23$

c)

$y=\frac{15}{7}x+5$

d)

$y=-\frac{15}{7}x-23$

19.

Which equation best represents a line that is parallel to the line graphed below and passes through the point graphed below?

a)

$y=2x-8$

b)

$y=-\frac{1}{2}x-3$

c)

$y=\frac{1}{2}x-5$

d)

$y=-\frac{1}{2}x+3$

20.

A customer is ordering shorts and socks from an online store. Each pair of shorts costs $15 and each pair of socks costs $4. The customer receives free shipping if the amount of the order is over $75.

Write an inequality that represents all the possible combinations of pairs of shorts, $x,$ and pairs of socks, $y,$ in an order that qualifies for free shipping.

a)

$15x+4y\le75$

b)

$15x+4y\ge75$

c)

$15x+4y<75$

d)

$15x+4y>75$

Unit 3B Review

Total questions: 20

Worksheet time: 12mins

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