Equations and Inequalities Review

Gabrielle's mom is letting her pick out a new necklace to wear to the school dance next week. The price (p) of the necklace must be less than $12.75. Which inequality models the price of Gabrielle's necklace?

Joshua weighs 78.4 kg. Mia and Joshua together weigh 137.2 kg.

An equation which can be used to calculate Mia's weight, m, is ​ (a)   .

Mia's weight in kilograms is ​ (b)   ​ .

Find the equation that represents the total distance (D) in miles Aaron has run in the past 12 months, if m equals the distance Aaron ran in miles per month.

Consider the inequality $$x>6$$ . Determine whether each value of x makes this inequality true. Categorize the solutions as True or False.

The sum of q plus r equals 37. If $$q=29$$ , which equation can be used to find the value of r?

Keely and Grayson played a board game. Keely scored 128 points, which was 4 times as many points as Grayson scored. The equation below can be used to find the number of points Grayson scored.

$$128=4g$$

How many points did Grayson score?

The number line below shows v, the amount of money Mandy needs to buy a new volleyball. Which inequality represents the values of v that are shown on the number line?

Which set contains values of n that make the statement below true?

$$1.5n<7.5$$

Tickets to a zoo cost $9 each. The equation below can be used to find out how many tickets, t, can be purchased for $54.
$$9t=54$$

What value of t makes the equation true?

Look at the inequality below.

$$x\le1$$

Which number line diagram represents the solution to the inequality?