Quiz about Algebra 1 Sem 1 Review

Question 1

Question 1.

Accepted Answer

$$y=4x+1$$

Answer

$$y=\frac{1}{4}x-3$$

Answer

$$y=-x+9$$

Answer

$$y=-3x-1$$

Question 2

Which point below is NOT part of the solution set?

Accepted Answer

(0, -3)

Answer

(0, 0)

Answer

(5,5)

Answer

(3, 5)

Question 3

Question 3.

Accepted Answer

Yes

Answer

No

Question 4

Find the rate of change from the table.

Accepted Answer

4

Answer

1/4

Answer

-4

Answer

-1/4

Question 5

Find the slope of the line that passes through the points

(2, 4) and (6, 12).

Accepted Answer

2

Answer

1/2

Answer

-1/2

Answer

-2

Question 6

If a question asks you to find f(2), what does that mean?

Accepted Answer

Let x = 2

Answer

Let y = 2

Question 7

Evaluate f(-2) if f(x) = x + 3

Accepted Answer

1

Answer

-1

Answer

5

Answer

-5

Question 8

w(x) = 3x - 7.
If w(x) = 14, find x.

Accepted Answer

7

Answer

35

Answer

2.33333

Answer

-49

Question 9

Which point below is NOT a part of the solution set?

Accepted Answer

(5, 10)

Answer

(0, 0)

Answer

(0, 1)

Answer

(-100, -3)

Question 10

What is the slope of the graph below?

Slope = rise/run

Accepted Answer

-3/2

Answer

2

Answer

2/3

Answer

3/2

Question 11

What is the equation of the inequality below?

Accepted Answer

$$y\le\frac{3}{2}x\ -3$$

Answer

$$y\ge2x\ -3$$

Answer

$$y\ >\ 2x\ -3$$

Answer

$$y\ <\ \frac{3}{2\ }x\ -3$$

Question 12

Given the function f(x) = 3x + 1 what is f(-2)?

Accepted Answer

-5

Answer

-2

Answer

7

Answer

-6

Question 13

Given the function f(x) = -5x - 6 , what is f(-3)?

Accepted Answer

9

Answer

21

Answer

15

Answer

-15

Question 14

Is (-2,4) a solution to the system?

Accepted Answer

Solution

Answer

Not a solution

Question 15

Select the correct graph for each inequality.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 16

Select the correct graph for each inequality.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 17

5

Accepted Answer

Rational

Answer

Irrational

Question 18

-17.5

Accepted Answer

Rational

Answer

Irrational

Question 19

.141414141414...

Accepted Answer

Rational

Answer

Irrational

Question 20

_____________ number is a number that cannot be written as a ratio of two integers.

Accepted Answer

An irrational

Answer

An integer

Answer

A rational

Answer

A repeating

Question 21

A decimal that never ends or repeats is which type of number?

Accepted Answer

Irrational

Answer

Rational

Question 22

What is the definition of an integer

Accepted Answer

All positive and negative whole numbers

Answer

Decimals or fractions that terminate for repeat

Answer

All positive whole numbers

Answer

0

Question 23

Question 23.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 24

Does this graph have a maximum or minimum?

Accepted Answer

Minimum

Answer

Maximum

Question 25

What is the green dashed line called?

Accepted Answer

axis of symmetry

Answer

roots or x-intercepts

Answer

parabola

Answer

line of dashes

Question 26

What is the axis of symmetry for this graph?

Accepted Answer

x=2

Answer

y=2

Answer

x=0

Answer

y=0

Question 27

Which of the following equations matches standard form of a quadratic?

Accepted Answer

y = ax² + bx + c

Answer

ax + by = c

Answer

y = a(x - h)² + k

Answer

y = mx + b

Question 28

What is the vertex?

Accepted Answer

(4,-4)

Answer

(2,0)

Answer

(0,2)

Answer

(6,0)

Question 29

Which of the following is a quadratic function?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 30

Find the y-intercept of

f(x) = 2x²- 2x + 1

Accepted Answer

(0,1)

Answer

(1,0)

Answer

(-2,0)

Answer

(0, -1)

Question 31

What are the x-intercepts of this function?

Accepted Answer

(1,0) and (5, 0)

Answer

(0, 3) and (0, -5)

Answer

(1, 5) and (5, 1)

Answer

(0, 1) and (0, 5)

Question 32

If the blue graph is
f(x) = x²
then the red must be...

Accepted Answer

g(x) = x²- 5

Answer

g(x) = x²+ 5

Answer

g(x) = (x - 5)²

Answer

g(x) = (x + 5)²

Question 33

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

Accepted Answer

horizontal shift left and vertical shift down

Answer

horizontal shift down and vertical shift left

Answer

horizontal shift right and vertical shift up

Answer

horizontal shift up and vertical shift right

Question 34

What represents the rate of change over the domain [1,3]?

Accepted Answer

-2

Answer

2

Answer

3

Answer

1

Question 35

Which of the following best represents the solutions to the quadratic equation

$$f\left(x\right)=x^2+x-1$$ ?

Accepted Answer

$$\frac{-1\pm\sqrt[]{5}}{2}$$

Answer

$$\frac{-1\pm\sqrt[]{3}}{2}$$

Answer

$$\frac{1\pm\sqrt[]{5}}{2}$$

Answer

$$\frac{1\pm\sqrt[]{3}}{2}$$

Question 36

What are the zeros of the function?

Choose two correct answers.

Accepted Answer

(-3, 0)

Accepted Answer

(1, 0)

Answer

(-4, 5)

Answer

(2, 5)

Answer

(0, 3)

Question 37

Which of the following is the graph of $$f\left(x\right)=-3\left(x-1\right)^2+12$$ ?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 38

Identify the zeros of the function shown.

Accepted Answer

2

Accepted Answer

10

Answer

-4

Answer

6

Answer

0

Question 39

What are the roots for this quadratic equation?

46.F.IF.4 interpret key features of quadratic functions represented in graphs, tables, equations, and verbal descriptions

Accepted Answer

(0,0) and (-4,0)

Answer

(0,0)

Answer

(0,0) and (0,4)

Answer

(0,0) and (4,0)

Question 40

What are the solutions to the graphed system?

Accepted Answer

(0,-2) and (3,1)

Answer

(-2,0) and (2,0)

Answer

(2,2) and (1,0)

Question 41

Solve by factoring: x²-2x-35=0

Accepted Answer

(7,-5)

Answer

(-6,-8)

Answer

(-7,5)

Answer

(7,8)

Question 42

Find the vertex of
f(x) = -x²- 4x + 12.

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

Question 43

Using the graph of the quadratic function, identify the y-intercept.

Accepted Answer

(0, 2)

Answer

(4, -6)

Answer

(.5, 0)

Answer

(7.5, 0)

Question 44

Using the graph of the quadratic function, identify the vertex.

Accepted Answer

(4, -6)

Answer

(0, 2)

Answer

(.5, 0)

Answer

(7.5, 0)

Question 45

What are the x-intercepts?

Accepted Answer

0 and 4

Answer

0 and 2

Answer

-4 and 0

Answer

2 and 3

Question 46

Name the parent function.

Accepted Answer

quadratic

Answer

linear

Answer

cubic

Answer

logarithmic

Question 47

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

Accepted Answer

a translation shifting f(x) 4 units to the left

Answer

a reflection across the line x = -4

Answer

a reflection across the line y = -4

Answer

a translation shifting f(x) 4 units to the right

Question 48

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

Accepted Answer

2

Answer

4

Answer

8

Answer

20

Question 49

Complete the square for
x² + 12x + ____

Accepted Answer

x² + 12x + 36

Answer

x² + 12x + 144

Answer

x² + 12x - 36

Answer

x² + +12x - 144

Question 50

If each mark on the x-axis represents one second, when did the object reach the ground?

Accepted Answer

5.5 seconds

Answer

2.5 seconds

Answer

4.5 seconds

Answer

6.5 seconds

Question 51

Describe the transformation of y = x² - 5

Accepted Answer

Shift DOWN

Answer

Shift UP

Answer

Shift LEFT

Answer

Shift RIGHT

Question 52

Describe the transformation of y = (x + 7)²

Accepted Answer

Shift LEFT

Answer

Shift UP

Answer

Shift DOWN

Answer

Shift RIGHT

Question 53

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

Accepted Answer

Right 3 and up 5

Answer

Left 3 and up 5

Answer

Right 3 and down 5

Answer

Left 3 and down 5

Question 54

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²

Accepted Answer

shifted left 5 units
reflection x-axis

Answer

shifted up five units
reflection in x-axis

Answer

shifted down five units
reflection in x-axis

Answer

shifted right 5 units
reflection x-axis

Question 55

Change x²-16x+64 to vertex form.

Accepted Answer

(x-8)2

Answer

(x-16)2

Answer

(x+16)2

Answer

(x+8)2

Question 56

How does the graph of $$y = (x + 3)^2 - 4$$ compare to the graph of $$y = x^2$$ ?

Accepted Answer

It is shifted 3 units to the left and 4 units down.

Answer

It is shifted 3 units to the right and 4 units up.

Answer

It is shifted 3 units to the left and 4 units up.

Answer

It is shifted 3 units to the right and 4 units down.

Question 57

Which quadratic function is represented by the graph?

Accepted Answer

y = -2(x + 4)² + 5

Answer

y = 2(x - 4)² + 5

Answer

y = 2(x + 4)² + 5

Answer

y = -2(x - 4)² + 5

Question 58

A swim team member performs a dive from a 14-foot-high springboard. The graph shows the path of her dive. Based on the graph, which of the following is not true?

Accepted Answer

The maximum height the diver reached was 24 feet.

Answer

The diver was at their maximum height at 3 seconds.

Answer

The diver took approximately 8 seconds to reach the water.

Answer

The diver's height was decreasing for 5 seconds.

Algebra 1 Sem 1 Review

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