Unit 6 Review Packet I can solve one-step equations and one-step inequalities

Write the word sentence as an equation.

1 . 3 increased by a number x is 9.

2 . The product of a number y and 3 is 6.

Solve the equation. Check your solution.

3 . 3 7u + = 4 . 3 14 8

a − =

5 . 9 81y ÷ = 6 . 15 60b× =

Tell whether the ordered pair is a solution of the equation.

7 . ( )9 ; 4, 36y x= 8 . ( )3 5; 7, 16y x= −

9 . Write and graph an equation in two variables that shows the relationship between time and distance.

10 . The length of Garden B is 3 more than the length of Garden A. Write an equation you can use to find the length l of Garden A.

11 . Your bedroom ceiling is 10 feet high and is 23

as high as the living room ceiling.

Write and solve an equation to find the height h of the living room ceiling.

12 . You leave your house and walk for half an hour at a speed of 3 miles per hour. Then you run for 15 minutes at a speed of 7 miles per hour. You are now halfway to town. Write and solve an equation to find the distance from your house to town.

Write the word sentence as an inequality.

13 . A number b is less than 12.

14 . A number y divided by 6 is no more than 2.

Tell whether the given value is a solution of the inequality.

15 . 3 12;x + > 5x = 16 . 6 4;n ÷ ≤ 2n =

Graph the inequality on a number line.

17 . 6b > 18 . 1y < −

Solve the inequality. Graph the solution.

19 . 3 5k − < 20 . 10 11c+ ≥

21 . 54x> 22 . 12 72c ≤

Write the word sentence as an inequality. Then solve the inequality.

23 . A number k increased by 3 is at most 13.

24 . Ten less than a number a is greater than 10.

25 . 100 is no less than 20 times a number t.

26 . A golf course charges $10 to golf or $150 for a summer pass. Write an inequality to represent the number of times you would need to golf in order for the summer pass to be a better deal.

27 . You have $8 and a $5 off coupon to buy snacks at a concession stand. Write and solve an inequality to represent the regular price of snacks you can buy if you use the coupon.

28 . Your teacher decides to split the class into four equal groups with no more than five students in each group. Write and solve an inequality to represent the number of students in the class.