Jose wrote that 9 + 9 = 18. Then he wrote that 9 + 9 + n = 18 − n. Are his equations balanced?
He added the same variable that he subtracted to the other side. It is not balanced.
Horace bought 84 pizzas for a school awards banquet. There will be 12 tables set up for the banquet, and Horace wants to divide the pizzas evenly between the tables. He thinks that each table will have 7 pizzas. Use the equation 84 ÷ p = 12
Substitute 7 for p and Horace is correct.
Elizabeth is 64 inches tall, which is 9 inches taller than her brother Mac. Solve the equation m + 9 = 64 to find m, Mac’s height in inches.
m= 55 inches
If x - 3 = 10, which of the following is also true?
x - 3 + 3 = 10 + 3
The record for a city’s greatest 1-day rainfall is 8.2 inches. Write an inequality to represent a rainfall that would beat this record.
r > 8.2 is one example.
Solve: c x 3/4 = 2 2/5
3 1/5
Which numbers make the inequality x < 19 true? Choose all numbers that apply.
A, B, D
Kelly is on the rowing team. This week, Kelly’s goal is to row 16 miles. So far, she has rowed 9 3/8 miles. Use the equation 9 3/8 + r = 16 to find how many more miles Kelly needs to row.
6 5/8 miles
Write an algebraic equation that represents the total weight (W) of eight boxes of blackberries, if b equals the weight of one box of blackberries.
w = 8b is an example.
Dave is buying refreshments at the pool. After buying a smoothie for he and a friend for $6.45, Dave is left with $7.65. How much money did he begin with? Use the equation x − $6.45 = $7.65.
$14.10
Grant has $7 in his pocket after spending $8 at the movies. The equation shown can be used to find d, how many dollars he had before going to the movies. What step should be taken to get the variable alone? d - 8 = 7
Add 8 to each side of the equation.
A symphony orchestra typically uses twice as many violins as cellos. If 36 violins are used, solve the equation 2x = 36 to find the number of cellos used.
x = 18; There are 18 cellos used.
What step should be taken to get the variable alone in the equation shown? 7x = 84
Divide each side by 7.
Jake finished 9 math problems on a homework assignment of 15 problems. Write the equation that would help you solve.
n + 9 = 15
Which graph represents the solutions of the inequality d < 23?
B
What value of x makes the following equation true? x - 20 = 4
x = 24
Five siblings buy a $100 gift certificate for their parents and divide the cost equally. Which equation can be used to find s, the number of dollars each sibling pays?
5s = 100
What value of p makes the following equation true? p ➗15 = 3
p=45
Which is a solution to the equation? 22 - x = 14
8