BASIC
ALGEBRA Exam 1A*
Name_________________
Show all work on
this test or on separate paper! Calculators NOT allowed on Exam 1!
PART 1: (2 points
each) Circle your answers!
In 1 - 13, give
the value.
1. 6
+ 4 ·
8
2. 18 ÷ 3 ·
2
3. 2 · 52
4. 6
+ 42 ÷ (2 +
2)
5.
(-6)(-4)
6. 12 ÷ 0
7. 0
÷ 12
8. 8 –
(-6)
9. (-20) – (-12)
10.
(-4)2
11. (–1)5
12. -24
13. (-2)2 + (-2)3
In 14 - 16, given
x = 3, y = -2, z = -5, evaluate the following expressions.
14.
y2
+ z2
15. y2 - 3z2
16. x2 -
xyz
In 17 – 20,
simplify and combine like terms:
17.
3x + 12xy –
7x + 7xy
18. 3x2 + 3x + 9x – 9x2
19.
4(7x + 5) +
3(8x – 9)
20. 3(2x – 4) – 9(5x + 8)
In 21 – 24,
give the complete name of the property used:
21.
8 · (3 + 0)
= 8 · (3)
__________________________
22.
8 · (3 + 0)
= (3 + 0) · 8 __________________________
23.
8 · (3 + 0)
= 8 · (0 + 3) __________________________
24.
8 · (3 + 0)
= 8 · (3) + 8 · 0 __________________________
PART 2: (4 points
each, partial credit)
In 25 – 37,
solve the equations.
25.
3x + 12 = 36
26. -4x - 8 = 20
27.
2(x-4) +
4(x-5) = -52
28. x + 12 = 5x + 36
29.
2(x-4) -
4(x-5) = 12
30. 5 - 2(x+8) = 7 - (5x-3)
In 31 - 33, solve
the inequalities; graph on a number line.
31 a) x - 2 >=
3
32. -3x + 9 >= 15
33. -2 < 4 - 2x <= 10
b) -2 < x <
6
In 34 - 37,
give equations and solve the word problems.
34. Six less
than twice a number is 4 more than the number. Find the number.
35. Three
numbers are such that the second number is twice the first number. The
third number is 15 less than the second number. The sum of the numbers
is 50. Find the numbers.
36. The
length of a rectangle is 8 more than twice the width. The perimeter is
96. Find the dimensions of the rectangle.
37. A box
contains 40 coins in quarters and dimes. If the value of the coins is
$6.70, how many of each coin are there?
Click here for the
solutions to Exam 1A
BASIC ALGEBRA
Exam 1B* Name_________________
Show all work on
this test or on separate paper! Calculators are NOT allowed on Exam 1!
PART 1: (2 points
each) Circle your answers!
In 1 - 13, give
the value.
1.
2 + 8 ÷ 2
2. 20 ÷ 4 · 5
3. (2 + 5)2
4.
5 · 32
+ 11 - 22
5. 6 (-4)
6. 0 ÷ 6
7.
6 ÷ 0
8. - 6
– (-6)
9. 2 – | -12 |
10.
-42
11. (–4)2
12. (-3)3
13. (-2)3 - (-2)2
In 14 - 16, given
x = -5, y = 3, z = -2, evaluate the following expressions.
14.
x2
- y2
15. 2xy + 3yz
16. z2 - x2
In 17 – 20,
simplify and combine like terms:
17.
5y - 6xy –
xy - 12y
18. 7x2 - 3x - 9x – 19x2
19. 4(5x – 8) -
6(8x – 9)
20. 3(7x + 9) – (5x + 8)
In 21 – 24,
give the complete name of the property used:
21.
x · (y + 0)
= (y + 0) · (x) __________________________
22.
x · (y + 0)
= x · y + x · 0 __________________________
23.
8 · (3 + -3)
= 8 · (0)
__________________________
24.
8 · (5 · 3)
= (8 · 5) · 3
__________________________
PART 2: (4 points
each, partial credit)
In 25 – 37,
solve the equations.
25.
4x - 8 = 32
26. -4x + 12 = 20
27.
5(x-4) + 4(3
- x) = -20 28.
- x - 12 = 5x + 36
29. 7 - (x + 4) =
10
30. 5 + 2(x-8) = 7 - (3 - 5x)
In 31 - 33, solve
the inequalities; graph on a number line.
31a)
2x + 6 >= 2
32. -2x - 4 >= - 8
33. 6 < 9 - 3x <= 15
b) -4 <= x < 2
In 34 - 37,
give equations and solve the word problems.
34. Five less
than four times a number is equal to 35 less than twice the number.
Find the
number.
35. Two
consecutive odd numbers are such that twice the second, plus three
times the first, is equal to 29. Find the numbers.
36. The
second side of a triangle is twice the first, and the third side is 10
more than the second side. The perimeter of the triangle is 70 feet.
Find the sides of the triangle.
37. A box
contains nickels, dimes, and quarters worth $12.60. The number of
dimes is 2 less than three times the number of nickels, and the number
of quarters is 4 less than twice the number of dimes. How many of each
coin are there?
Click
here for the solutions to Exam 1B
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