Topic 5 Test Review

Moesha needs $79 for a class trip. She already has $22 and she can earn the rest by babysitting for 8 hours. If h represents her hourly earnings, which of the following equations can be solved to find Moesha's hourly earnings? Select all that apply. 

• 79 = 22h + 8

• 79 - 22 = 8h

• 79 = 22 + 8h

• 22 = 79 - h

• 79 + 22 = 8h

Neil's airplane needs a full tank of fuel to travel 2,600 miles. How many tanks of fuel, t, does Neil's airplane need to travel no more than 7,800 miles?

• $2,600t\le7,800$

• $7,800\le2,600t$

• $2,600\le7,800t$

• $7,800t\le2,600$

Solve the inequality  $2,600t\le7,800$   

What does the solution represent in this situation?

• $t\le3$ The plane needs no more than 3 tanks of fuel.

• $t\ge3$ The plane needs at least 3 tanks of fuel.

• $t<3$ The plan needs less than 3 tanks of fuel.

• $t>3$ The plane needs more than 3 tanks of fuel.

Anya budgets $194 on commuting to work each month. She buys a monthly bus pass for $68 and spends $6 each time she busy lunch. Which inequality describes the number of days, d, that Anya can afford to buy lunch?

• $194\ge6d\ +\ 68$

• $194\ \ge\ 6d\ -\ 68$

• $194\ \le\ 6d\ -\ 68$

• $194\ \le\ 6d\ +\ 68$

Daniel needs to learn how to tie at least 35 different knots to earn a badge from his scout troop. He already knows how to tie 18 knots.

Write and solve an inequality to describe the number of knots, k, that Daniel must still learn to tie.

• $k\ +\ 18\ \ge35;\ k\ge17$

• $k\ -\ 18\ \ge\ 35;\ k\ \ge\ 53$

• $k\ +\ 18\ >\ 35;\ k\ >\ 17$

• $k\ -\ 18\ >\ 35;\ k\ >53\$

 $k\ +\ 18\ \ge\ 35;\ k\ge17$  

Graph the solution to the inequality. 

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 $5.15x\ +\ 6\ =\ 72.95$  

Solve the equation

• x = 15.33

• x = 13.00

• x = 42.05

• x = 61.80

 $12\left(5x\ -\ 4.5\right)\ =\ 36$  

Use the properties of equality to find the value of x in the equation

• x = -0.3

• x = 0.675

• x = 1.5

• x = 10.5

 $\frac{2}{3}x\ -\ \frac{1}{6}>\frac{1}{2}$  

Solve the inequality 

• x < 2

• x < 1

• x > 2

• x > 1

Graph the solution x >1 on a number line

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