2021 Fall Semester Exam Review #1

Consider the system of inequalities and select all that are true. (The system is shaded in the triangular region.)

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You have $40 to spend on candy and soda. Candy is $1.00 and soda is $1.50. Assume x represents the amount of candy and y is the amount of sodas purchased. Write and graph the inequality.

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A party supply company charges $4 for an initial fee and $2 for each additional hour. Write a linear equation in slope-intercept form with the given information.

• $y=4x+2$

• $y=2x+4$

• $2x+4y=16$

• $4x+2y=8$

The member of the boosters organization at your high school bought new balls for the school. They spent $22 per basketball and $36 per football, spending a total of $608. They bought 4 more footballs than basketballs. How many of each type of ball did they buy?

• 9 basketballs and 5 footballs

• 12 basketballs and 8 footballs

• 8 basketballs and 12 footballs

• 5 basketballs and 9 footballs

Write the sentence as an inequality: The sum of a number y and 7.6 is greater than or equal to 24.

• $7.6-y<24$

• $y-7.6\le24$

• $y+7.6>24$

• $y+7.6\ge24$

Solve the equation: $5w-7=6w$  

•  $w=\frac{7}{11}$  

•  $w=-7$  

•  $w=7$  

•  $w=-\frac{7}{11}$  

Graph the inequality:

 $g\ge-8$  

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The path that you take to go home from school to the library (shown in bold) is perpendicular to the path that takes you from home to the park. Write an equation that represents the path shown in bold.

• y = x + 6

• y = -x - 4

• y = -x + 6

• y = 6x + 1

Which statements are true about the function -x + y = -4?

• The y-intercept is -4.

• The x-intercept is -4.

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• The x-intercept is 4.

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Write an equation in point-slope form using the given information:
 $\left(5,11\right);\ m=\frac{4}{5}$  

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