Review Unit 2 Quiz - Linear Equations

​Unit 2 Linear Equations Review

Multiple Choice

Using the graph provided, draw a line of best fit and answer the question: Based on your line of best fit, a student who has spent 17 hours reading should have a reading speed of:

• About 22 wpm

• About 45 wpm

• About 55 wpm

• About 60 wpm

Multiple Choice

Using the two points provided, find the SLOPE of this line of best fit.

•  34

•   $$\frac{1}{34}$$  

•  2

•   $$\frac{1}{2}$$  

Multiple Choice

What is the equation of this line of best fit in slope-intercept form? Use the circled points.

• $$y=-236x+34$$  

• $$y=236x-34$$  

• $$y=34x-236$$  

• $$y=34x+236$$  

Multiple Choice

Using the equation of the line of best fit,

$$y=34x-236$$ , estimate the number of sales when the temperature reaches 30 degrees (celsius)

•   1568

•   1256

•   1024

•   784

Multiple Choice

Write an equation in slope-intercept form of the line that passes through (-2, 7) and has a slope of -4.

• $$y=-4x-1$$  

• $$y=4x+15$$  

• $$y=-4x+15$$  

• $$y=4x-1$$  

Multiple Choice

Tony is a candy maker. 4 days ago, he had 100 pieces of candy. In 3 more days he will have 450 pieces of candy. Assume he makes candy at the same rate. Write an equation for the number of pieces of candy Tony has at any day. Note: "4 days ago" would be in the past, so if you let "today" equal zero, then "4 days ago" would be -4.

• $$y=50x-300$$  

• $$y=50x+300$$  

• $$y=300x+50$$  

• $$y=300x-50$$  

Multiple Choice

Find the x and y intercepts of the equation

$$2x-4y=12$$  

• x-intercept: (0,6)

  y-intercept: (-3,0)

• x-intercept: (3,0)

  y-intercept: (0,-6)

• x-intercept: (-3,0)

  y-intercept: (0,6)

•  x-intercept: (6,0)

  y-intercept: (0,-3)

Multiple Choice

Write the equation in slope-intercept form that gives the rule for this table.

• $$y=5x-54$$  

• $$y=9x+70$$  

• $$y=9x-70$$  

• $$y=5x+54$$  

Multiple Choice

South Western High School put on a play. The adults were charged $20 and the students were charged $10. If the play took in $1400.00 total, which graph correctly shows the sales from adults compared to students if x represents the number of students and y represents the number of adults?

Multiple Choice

Which equation matches this graph?

• $$y=-\frac{5}{2}x+4$$  

• $$y=-\frac{5}{2}x-4$$  

• $$y=\frac{2}{5}x\ +4$$  

• $$y=-\frac{2}{5}x+4$$  

Multiple Choice

Find the 12th term of the arithmetic sequence:

-8, -16, -24, -32, ...

• -8

• -96

• -88

• -104

Multiple Choice

Tiffany is draining her pool for the winter. The pool currently has 20,000 gallons. The pump drains the water at a constant rate of 20 gallons per minute. What equation represents the amount of water (w) at any given minute (t)?

• $$w=-20t+20,000$$  

• $$w=-20,000t+20$$  

• $$w=-20t-20,000$$  

• $$w=-20,000t-20$$  

Multiple Choice

A local Forest Manager is estimating the number of trees that are dying due to Lanternfly damage. Each week, he counts the trees in the forest that are dying due to Lanternfly infestation. Here is his data so far, starting with the first week: 150, 165, 180, 195. He notices a pattern. Write an expression to determine the number of dying trees after "n" weeks.

• 200-15n

• $$15n$$  

• $$15n+135$$  

• $$150n$$  

Fill in the Blanks

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Multiple Choice

Simplify $$\sqrt[]{75x^4y^7}$$

• $$5x^2y^3\sqrt[]{2}$$

• $$5x^4y^6\sqrt[]{3y}$$

• $$5x^2y^3\sqrt[]{3y}$$

• $$25x^2y^3\sqrt[]{3y}$$