BASIC ALGEBRA EXAM 1 RR NAME________________________
Show all work on this test or on separate paper! Turn in all work sheets.
Calculators are NOT allowed on Exam 1
PART 1: (2 points each) Circle your answers! In 1 - 15, give the value.
1. 16 + 4 · 5 2. 20 ÷ 5 · 2 3. 2 + 8 2
4. (-16) + (-9) 5. (-23) + 7 6. 4· (-8) 7. (-8)(-9) 8. (-12) ÷ 0
9. 0 ÷ (-12) 10. |-5| + |-3| 11. (-6) + [6 + (-9)]
12. (-1)6 13. (–2)2 14. –22 15. (-3)2 + (-5)2
In 16 – 21, combine like terms and simplify:
16. 6x2 + 5 x - 8 x 2 + 4 x 17. 8 x 2 + 2 x y - x y + (-20 x 2)
18. 3(2 x + 3) + 5(6 x – 5) 19. 3 + 5(x – 4) – 2(x + 5)
20. -3(2 x - 4) - 7(3 x + 6) 21. 4 x (2 x – 3y) – 5y(3 x – 7y)
In 22 – 25, give the complete name of the property used:
22. 3 · (x + 4) = 3 · x + 3 · 4 23. 3 · (x + 4) = 3 · (4 + x)
24. 3 · (x + 0) = (x + 0) · 3 25. 3 · (x · 1/ x) = 3 · 1
In 26 - 28, given x = 6 and y = - 2, evaluate the following expressions:
26. x 2 + 4y 27. 2 x 2 + y2 28. x 2 – 3y2
PART 2: (4 points each, partial credit)
In 29 – 33, solve the equations.
29. 4 x + 8 = -4 30. 2 x - 6 = 4 x – 12 31. 3(2 x - 5) = 2 + 5 x
32. 4 + 2(x – 6) = 2(2 x + 4) 33. 6x – 2(x – 6) = 2(3 – x) + 8 x
In 34 - 38, solve the inequalities; graph on the number line that is provided.
34. 3 x + 6 ³ x - 4 35. -3 x < 9 36. 0 < x + 2 £ 5
37.
38. 
In 39 - 42, give equations and solve the word problems.
39. If 6 is added to 3 times a number, the result is 4 less than the number. Find the number.
40. The length of a rectangle is 3 less than twice the width. The perimeter is 84. Find the dimensions of the rectangle.
41. A box contains 50 coins in quarters and dimes. If the value of the coins is $5.90, how many of each coin are there?
42. A box contains nickels, dimes, and quarters worth $3.75. There are three more nickels than quarters, and the number of dimes is twice the number of nickels. How many of each are there?
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BASIC ALGEBRA EXAM 1RR Solutions
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