Quiz about Chapter 1 Enrichment Review

Question 1

Solve:

$$\frac{5}{6}\left(x-18\right)=75$$

Accepted Answer

x = 108

Answer

x = 75

Answer

x = 90

Answer

x = 96

Question 2

Solve. $$7\left(x-3\right)+8=4x\ -13+3x$$

Accepted Answer

All Real Numbers

Answer

x = 4

Answer

x = 0

Answer

No Solutions

Question 3

Write an equation for this statement: $$three\ more\ than\ double\ a\ number\ is\ two\ less\ than\ the\ number$$

Accepted Answer

$$2x+3=x-2$$

Answer

$$2x+3=2-x$$

Answer

$$2x+3<x-2$$

Answer

$$3+x^2=x-2$$

Question 4

Solve:

$$-27<-3x+6$$

Accepted Answer

x < 11

Answer

x > 11

Answer

x < 7

Answer

x > -11

Question 5

Write these solutions in interval notation:

Accepted Answer

$$\left(-\infty,5\right]$$

Answer

$$\left(\infty,5\right]$$

Answer

$$\left[-\infty,5\right)$$

Answer

$$\left[5,\infty\right)$$

Question 6

Find the slope of this line: $$4x-3y=-24$$

Accepted Answer

$$m=\frac{4}{3}$$

Answer

$$m=\frac{-4}{3}$$

Answer

$$m=-\frac{3}{4}$$

Answer

$$m=\frac{3}{4}$$

Question 7

Julia climbed 1,000 stairs in 4 minutes. After 20 minutes, she had climbed 5,800 stairs. Find her average rate of change.

Accepted Answer

300 stairs per minute

Answer

250 stairs per minute

Answer

290 stairs per minute

Answer

4800 stairs per minute

Question 8

Write the equation of a line with a y-intercept of -4 and a slope of 1/2.

Accepted Answer

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

Answer

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

Answer

$$y\ =-4$$

Answer

$$y=\frac{1}{2}x+4$$

Question 9

Write the equation of a line through (-18,10), with a slope of 1/2. Write your final answer in standard form.

Accepted Answer

$$y=\frac{1}{2}x+19$$

Answer

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

Answer

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

Answer

$$y=\frac{1}{2}x-23$$

Question 10

Write the equation of the line through (4,-5) and (3,2). Write your answer in slope-intercept form.

Accepted Answer

$$y=-7x+23$$

Answer

$$y\ =\ 7x-19$$

Answer

$$y=-7x+17$$

Answer

$$y=-7x+33$$

Question 11

What graph matches this equation? $$y\ =\ -3$$

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 12

What graph matches this equation? $$y=-2x+1$$

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 13

What graph matches this equation? $$2x-3y=-12$$

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 14

Which of these points does the graph of this line go through? $$y-2=3\left(x+9\right)$$

Accepted Answer

(-9,2)

Answer

(-2,9)

Answer

(9,-2)

Answer

(2,-9)

Question 15

Which inequality is (2,-5) a solution to?

Accepted Answer

$$x-y\ge7$$

Answer

$$y>3x+1$$

Answer

$$2x+4y<-16$$

Answer

$$y\le x-8$$

Chapter 1 Enrichment Review

15 questions

Write these solutions in interval notation:

Julia climbed 1,000 stairs in 4 minutes. After 20 minutes, she had climbed 5,800 stairs. Find her average rate of change.

Write the equation of a line with a y-intercept of -4 and a slope of 1/2.

Write the equation of a line through (-18,10), with a slope of 1/2. Write your final answer in standard form.

Write the equation of the line through (4,-5) and (3,2). Write your answer in slope-intercept form.

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