Practice - Algebra 1

2.10.7 Practice

2.10.7 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

Xander is loading a pallet with boxes that each weighs 45 pounds. The pallet can safely support no more than 900 pounds. How many boxes can he safely load onto the pallet?
____ boxes or less

The elevator in Yehire’s apartment building has a sign that says the maximum weight is 2100 pounds. If the average weight of one person is 150 pounds, how many people can safely ride the elevator?
a maximum of ___ people

Jaden is looking at apartments with three of his friends. They want the monthly rent to be no more than $2360. If the roommates split the rent evenly among the four of them, what is the maximum rent each will pay?
$____

Melody got a $20 gift card for the coffee shop. Her favorite iced drink costs $3.79. What is the maximum number of drinks she can buy with the gift card?
____ drinks

Teegan likes to play golf. He has budgeted $60 next month for the driving range. It costs him $10.55 for a bucket of balls each time he goes. What is the maximum number of times he can go to the driving range next month?
____ times

Ryan charges his neighbors $17.50 to wash their car. How many cars must he wash next summer if his goal is to earn at least $1500?
____ cars

Alejandro’s water bill is $24.80 per month plus $2.20 per ccf (hundred cubic feet) of water. What is the maximum number of ccf Alejandro can use if he wants his bill to be no more than $60?
____ ccf

Look at the inequality $5m + 6 < 14 − 2m$ . Which of the following is NOT true?

If $m$ is a negative number, then $14 − 2m$ will always be negative.
If $m$ is a positive number, then $5m + 6$ will always be positive.
If $m$ is a negative number, then $14 − 2m$ will always be positive.
If $m$ is a negative number, then $5m + 6$ could be a positive or negative number.

Solve the inequality: $x + 8 > -12$

$x > 4$
$x >-4$
$x > 20$
$x > -20$

Solve the inequality: $x - 15 <-3$

$x < -18$
$x < 12$
$x < -12$
$x < 18$

Solve the inequality: $x\;+\;19\;\leq\;23$

$x\;\leq\;4$
$x\;\leq\;42$
$x\;\leq\;-4$
$x\;\geq\;4$

Solve the inequality: $7x < -56$

$x < -49$
$x < -63$
$x < -8$
$x > -8$

Solve the inequality: $\frac x2\;\;\leq\;\frac52$

$x\;\geq\;5$
$x\;\leq\;2$
$x\;\leq\;5$
$x\;\leq\;\frac52$

Solve the inequality: $-3x > 21$

$x < -7$
$x > -7$
$x < -24$
$x < 18$