Algebra 1
Review Group Multiple Choice – 3rd Quarter Midterm
1) Write the number in scientific notation.
a) 568 x 105
b) 5.68 x 105
Name __________________________________
56,800,000
c) 5.68 x 107
2) Write the equation in standard form.
1.55 x 106
a) 1,550,000
b) 155,000,000
c) 0.00000155
3) Which of the following is true of the graph of y   x  1 ?
a) The line is solid, and the shading is above the line.
b) The line is dashed, and the shading is above the line.
c) The line is solid, and the shading is below the line.
d) The line is dashed, and the shading is below the line.
4) Which linear inequality describes the graph at the right?
2
x4
3
2
x4
b) y 
3
2
x4
c) y 
3
2
x4
d) y 
3
a) y 
5) Which linear inequality describes the graph at the right?
a) y  3
b) x  3
c) y  3
d) x  3
6) Find a solution of the linear inequality.
a) (-3, 1)
b) (2, -1)
y < 2x + 3
c) (-1, 4)
d) (0, 6)
d) 5.68 x 10-7
d) 155.0000
Simplify. Use the Exponent Rules.
a.
c.
b.
d.
8)
a.
b.
c.
d.
9)
a.
b.
c.
d.
a.
b.
c.
d.
b) n 32
c) n 4
d) n 4096
b) 5 y 8
c) 25y 6
d) 10 y 8
b) c 32
c) c 60
d) c 19
10)
11) (n 4 ) 8
a) n 12
12) (5 y 4 ) 2
a) 25y 8
13) (c 5 ) 3 c 4
a) c 12
14) Which expression does NOT equal 25n 12 ?
a) (5n 6 ) 2
15) Add.
b) (5n 3 )(5n 9 )
c) 25(n 3 ) 9
d) 5 2 (n 2 ) 6
(8 x 2  3)  (7 x 2  10)
a) x 2  7
b) 15 x 2  13
c) 15 x 4  13
d) 56 x 4  30
16) Which sum is equal to 11k 2  3k  1 ?
a) (4k 2  k  5)  (7k 2  2k  6)
b) (k 2  2)  (11k 2  3k  3)
c) (8k 2  k )  (3k  1)
d) (5k  1)  (6k  3)
17) Subtract.
( x 3  x 2  4 x)  ( x 2  5x  6)
a) 9x  6
b) x 3  x  6
c) x 3  9 x  6
d) x 3  2 x 2  x  6
18) x(6 x 2  4 x  2) equals which of the following expressions?
a) 6 x 3  4 x  2
b) 6 x 3  4 x 2  2 x
c) 6 x 3  4 x 2  2
d) 7 x 3  5 x 2  3 x
19) Factor by finding the GCF. 6 g 8  3g 4  9 g 2
a) g 2 (6 g 4  3g 2  9)
b) 3g 2 (2 g 6  g 2  3)
c) g 2 (6 g 6  3g 2  9 g )
d) 3g 2 (2 g 6  g 2  3g )
a) n 2  5n  4
b) n 2  3n  4
c) n 2  3n  4
d) n 2  5n  5
20) ( n  1)( n  4) is equal to which expression?
21) (8k  3)( k 2  k  1) is equal to which expression?
a) 8k 3  11k 2  11k  3
b) 8k 2  3
c) 8k 3  11k 2  11k  3
d) 9k 3  3k 2  3k  3
22) ( x  5)( x  5) is equal to which expression?
a) x 2  10 x  25
b) x 2  25
c) x 2  25
d) x 2  10 x  25
a) ( g  6)( g  12)
b) ( g  6)( g  12)
c) ( g  6)( g  12)
d) ( g  18)( g  72)
a) ( n  5)( n  10)
b) ( n  5)( n  10)
c) ( n  15)( n  50)
d) ( n  5)( n  10)
a) ( x  6)( x  6)
b) ( x  6) 2
c) ( x  6) 2
d) ( x  12)( x  3)
a) ( x  9) 2
b) ( x  9) 2
c) ( x  81)( x  81)
d) ( x  9)( x  9)
23) Which of the following show the factors of:
g 2  18g  72
24) Which of the following show the factors of:
n 2  15n  50
25) Which of the following show the factors of:
x 2  12 x  36
26) Which of the following show the factors of:
x 2  81
27) Suppose you invest $12,000 in equipment to manufacture a new board game. Each game costs $2.50 to
manufacture and sells for $18. Which set of equations correctly represents this problem?
a)
y  12,000 x  2.50
y  18 x
b)
y  12,000  2.50 x
y  18 x
c)
y  2.50 x
y  12,000  18 x
d)
y  12,000 x  18
y  2.50 x