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Midterm
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
Use substitution to solve the system of equations.
____
1.
____
a. (36, 33)
b. (–9, –6)
2. If t  k  5 and k  t  11 , then k  ?
a. 2
b. 3
____
c. (12, 15)
d. (33, 36)
c. 8
d. 11
3. If a  b  5 and 2a  3b  12 , then b  ?
a. 1
b. 2
c. 3
d. 4
Solve the system of inequalities by graphing.
____
4.
y
a.
–5
–4
–3
–2
y
c.
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
1
2
3
4
5
x
y
b.
–5
____
–4
–3
–2
y
d.
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
1
2
3
4
5
x
1
2
3
4
5
x
1
2
3
4
5
x
5.
y
a.
–5
–4
–3
–2
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–3
–2
–4
–3
–2
–1
–1
–2
–3
–3
–4
–4
–5
–5
y
–4
–5
–2
b.
–5
y
c.
y
d.
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
Simplify. Assume that no denominator is equal to zero.
____
____
____
____
6.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
c.
b.
d.
a.
c.
b.
d.
7.
8.
9.
____ 10.
Express the number in scientific notation.
____ 11. 0.0003054
a.
b.
c.
d.
____ 12.
a.
b.
c.
d.
Evaluate. Express the result in scientific notation.
____ 13.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
____ 14.
____ 15.
____ 16.
Find the sum or difference.
____ 17. 3c  2a 1  4c  2a  1  ?
a. 2a  4c  12
b. 4a  3c  2
c.
d.
____ 18.
a.
b.
c.
d.
a.
b.
c.
d.
____ 19.
Solve the equation.
____ 20.
a.
b.
c.
d.
a.
b.
c.
d.
____ 21.
a  c 1
7c
Find the product.
____ 22.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
____ 23.
____ 24.
____ 25.
____ 26.
____ 27.
Factor the polynomial.
____ 28.
a.
c.
b.
d.
a.
c.
b.
d.
a.
b.
c.
d.
____ 29.
____ 30.
Factor the trinomial.
____ 31.
a.
b.
c.
d.
a.
b.
c.
d.
____ 32.
Factor the polynomial, if possible. If the polynomial cannot be factored, write prime.
____ 33.
a.
b.
c.
d.
a.
b.
Factor the expression.
c.
d.
____ 34.
____ 35. abc  bcd  cde
a. ab(c+d+e)
b. ac(b+e)
c. c(ab+bd+de)
d. d(a+b+c+e)
____ 36. State the excluded values for the rational expression.
a. 3
c. –3, 3
b. 5, 5
d. 5
____ 37. State the excluded values for each rational expression.
a. 1
b. 1, 1
____ 38. Simplify the expression.
c. 3, –5
d. –3, 5
a.
c.
b.
d.
Find the product and simplify.
____ 39.
a.
c.
b.
d.
a.
c.
b.
d.
____ 40.
____ 41. Find the quotient.
a.
c.
b.
d.
____ 42. Find the quotient.
a.
c.
b.
d.
____ 43. Find the sum.
a.
b.
c.
d.
____ 44. Find the sum.
a.
c.
b.
d.
____ 45. Find the difference.
a.
c.
b.
d.
____ 46. Find the difference.
a.
c.
b.
d.
____ 47. Find the sum.
a.
c.
b.
d.
____ 48. Simplify the expression.
a.
c.
b.
d.
____ 49. Solve the equation.
a. 48
c.
1
8
b. 8
____ 50. Solve the equation.
d. 48
a.  12
5
c.
b.  4
3
d.
4
3
12
5
Midterm
Answer Section
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D
C
B
C
A
D
B
C
D
C
C
A
D
C
A
C
D
B
C
A
C
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B
B
D
B
A
A
A
B
C
D
D
B
A
B
C
D
B
D
B
C
C
43.
44.
45.
46.
47.
ANS:
ANS:
ANS:
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ANS:
A
D
A
B
C
48. ANS: D
49. ANS: D
50. ANS: A