Download L1 - Pre-Algebra Review Worksheet

L1 – Pre-Algebra Test
Name: __________________________
Date: _________ Section: __________
1-2. Simplify using the Distributive Property.
1. 6(10y – 4)
2. 3(9 + 2x)
3-4. Factor using the distributive property using the GCF.
3. 10x – 35
4. 12y – 48
5-6. Simplify by combining like terms.
5. 2y + 13y + 8y
6. 15 + 3x + 1 + 7x
7-8. Evaluate using order of operations. Show all work.
7.
15 + 3(7 - 4)
8. 4² + 12 ÷ 3 * 5
9-10. Use the formula to solve for the missing variable. Show all work and
remember labels!!
9. Area = length * width  A = l * w; l = 6 cm and w = 12 cm
10. Distance = rate * time  d = r * t; r = 50 miles per hour and t = 6 hours
11. Complete the table of values for the formula y = 4x + 3
x 2 4 6 8 10
y
12-13. Find two formulas relating the variables:
12. ___________________________
13. _______________________
x 2
4 6
9 12
y 11 19 27 39 51
a 16 18 20 22 24
b 9 11 13 15 17
14-16. Write an algebraic expression for each phrase:
14. the product of a number y and 6
14. _______________
15. the difference between 5 times a number k and 3
15. _______________
16. 6 times the sum of a number d and 6
16. _______________
17-18. Write a phrase for each algebraic expression or equation.
17. 5y + 9
_______________________________________________
18. x ÷ 10
________________________________________________
19-23. Solve each equation. Show ALL work. Be sure to show work on both sides
of the equation.
19. x + 23 = 52
19. __________
20. 6k + 15 = 45
20. __________
21. 9p = 126
21. __________
22.
x
 12  18
7
23. 27 = 6y - 27
22. __________
23. __________
24. Mikey earned $195 mowing lawns this weekend. He charges $15 per lawn. Write
and solve an equation to find how many lawns he mowed.
25. Mrs. Brady bought colored pencils for all her students. It cost $2.00 per box plus
$10 in tax. The total cost was $216. How many boxes of colored pencils did she buy?
Write and solve an equation to find how many boxes she bought.
Extra Credit (5 pts): Solve the equation. Be sure to show all steps and work on both
sides of the equation.
6x – 16 = 3x + 50