AnswersFL-1200310-Algebra 1Rewriting Expressions with Radicals

Rewriting Expressions with Radicals — Unit test Answers

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The function g(x) is defined as g(x) = 6x2 + 23x – 4. When does g(x) = 0?

A
x = –6 or x =
Option A
B
x = –4 or x =
Option B
C
x = or x = 6
Option C
D
x = or x = 4
Option D
2
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Fiona is completing the square to solve the polynomial equation.x2 – 4x + 1 = 0

A
isolating the constant 1
B
adding 4 to both sides of the equation
C
isolating the second term, –4x
D
adding 1 to both sides of the equation
3

Which function has real zeros at x = −10 and x = −6?

A
f(x) = x2 + 16x + 60
B
f(x) = x2 − 16x + 60
C
f(x) = x2 + 4x + 60
D
f(x) = x2 − 4x + 60
4

Which statement is true about the function f(x)= –?

Question illustration
A
The domain of the function is all negative real numbers.
B
The range of the function is all positive real numbers.
C
The domain and range of the function have opposite signs.
D
The domain and range of the function are the same.
5

Combine these radicals.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

What values of b satisfy 4(3b + 2)2 = 64?

A
b = and b = –2
Option A
B
b = 2 and b =
Option B
C
b = and b = 3
Option C
D
b = 2 and b =
Option D
7

Which is a solution to the equation?(x − 3)(x − 5) = 35

A
x = −8
B
x = −5
C
x = 2
D
x = 10
8

The function f(x)= – is shown on the graph.

Question illustration
A
The range of the graph is all real numbers greater than or equal to 0.
B
The domain of the graph is all real numbers greater than or equal to 0.
C
The range and domain of the graph are the same.
D
The domain of the graph is all real numbers.
9

Which equation has an a-value of –2, a b-value of 1, and a c-value of 3?

A
0 = –2x2 + x + 3
B
0 = 2x2 + x + 3
C
0 = –2x2 + 3
D
0 = 2x2 – x + 3
10

Mischa wrote the quadratic equation 0=-x2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

A
c=-7
B
c=-1
C
c=4
D
c=7
11

What are the solutions to m2 – 9 = 0?

A
m = –9 and m = 0
B
m = –3 and m = 3
C
m = –3
D
m = 9
12

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = –6. Which function could Heather be writing?

A
f(x) = x2 + 36x + 12
B
f(x) = x2 – 36x – 12
C
f(x) = –x2 + 12x + 36
D
f(x) = –x2 – 12x – 36
13

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.

A
8 inches by 8 inches
B
9 inches by 9 inches
C
12 inches by 12 inches
D
13 inches by 13 inches
14

Nathan has a rectangular plot of grass in his backyard that has dimensions of meters in width and meters in length. What is the total area of the plot of grass? Recall that the area of a rectangle is the width multiplied by the length.

Question illustration
A
square meters
Option A
B
square meters
Option B
C
square meters
Option C
D
square meters
Option D
15

Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of the room?Recall that the area of a square is calculated by l2, where l is the length of one side.

A
feet
Option A
B
feet
Option B
C
feet
Option C
D
feet
Option D

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