OPERATIONS WITH REAL NUMBERS AND EXPRESSIONS 1
Order the following from least to greatest.
7%, 1/3, 0.2, 0.26, 1/12, 2/9
7%, 1/12, 0.2, 2/9, 0.26, 1/3
Simplify: (9x2 - 3x - 6) + (-3x2 - 7x - 3)
6x2 - 10x - 9
What is the shape of a linear function?
a line
What is the slope of the line that passes through the points (-6, 1) and (4, -4)?
-1/2
Given the following set of ordered pairs, what is the range of the function?
(1,3) (2,5) (3,7) (4,9)
A. {1, 2, 3, 4}
B. {3, 5, 7, 9}
C. {3, 9}
D. {1, 3, 4, 9}
B
{3, 5, 7, 9}
Select the correct symbol.
The square root of 28 is (< , > , or =) 29/5
<
less than
Factor the following expression completely.
x2 - 2x - 35
(x-7)(x+5)
Which equation represents a line that is parallel to the line y=-4x+5?
A. y=-4x+3
B. y=-1/4 x+5
C. y=1/4 x+3
D. y=4x+5
A
y=-4x+3
When looking at a graph, how can you tell it is a function?
Passes the vertical line test
Every x can only have 1 y value
Solve the equation:
30 + 6x = 7(x+6) - 5
x = -7
√16+∛8=
6
Which ordered pair is in the solution set of the system of equations
y=-x+1
y=x2+5x+6
A. (-5,-1)
B. (5,-4)
C. (-5,6)
D. (5,2)
C
The total cost (c) of an uber ride is the sum of 2 parts: a fixed charge and an additional charge per minute (n), shown by the equation:
C = 3.30 + 0.5n
What does the number 3.30 represent in the equation?
A. The duration of the ride
B. The cost of a 1 minute ride
C. The additional cost for each minute passed
D. The fixed charge
D. The fixed charge
What is the y-intercept of the graph of 4x+2y=12?
6
or (0,6)
Lidia opened a savings account with $137. She deposited the same amount in her account every week. Her balance after 4 weeks is shown below.
$137 $179 $221 $263 $305
Which expression can be used to determine her balance after n weeks?
A. 42n+137
B. 42(n+137)
C. 137n+42
D. 137n
A
42n + 137
Solve the compound inequality:
15 < 7n-2(n-10) < 35
-1 < n < 3
Multiply:
(2x-1)(5x+2)
10x2 - 1x - 2
Which equation represents a line parallel to the x-axis? A. x=5
B. y= 10
C. x=1/3
D. y=5x+17
B
y=10
What is the equation of the line that has a slope of 4 and passes through the point (3, -10)?
A. y=4x-22
B. y=4x+22
C. y=4x-43
D. y=4x+43
A
y=4x-22
Simplify:
5 √(18)
15 √2
18x3y2z and 12x4y4
What is the greatest common factor (GCF) of the monomials shown above?
6x3y2
Factored completely, the expression 2x2+10x-12 is equivalent to
A. 2(x-6)(x+1)
B. 2(x+6)(x-1)
C. 2(x+2)(x+3)
D. 2(x-2)(x-3)
B
2(x+6)(x-1)
Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50. What is the cost of one slice of mushroom pizza?
$2.00
Write the equation of a quadratic function in vertex form that moved right 4, up 7 and flipped over the x axis.
y=a(x-h)2+k
y = -(x-4)2+7
Multiply and simplify:
5√3 x 6√8
60 √6