Free Printable Algebra 2 Chapter 1- 4.2 Review

Worksheets

Algebra 2 Chapter 1- 4.2 Review

Total questions: 27

Worksheet time: 13mins

Name

Class

Date

What type of function is graphed above?

Linear

Absolute Value

Quadratic

Constant

Determine the transformation

left 3, up 2

right 3, up 2

left 3, down 2

right 3, down 2

Determine the transformation

down 2

x-axis reflection, down 2

y- axis reflection, left 2

left 2

Determine the vertex for each absolute value function

(-3, -1)

(-3, 1)

(3, -1)

(3, 1)

What is the correlation?

Negative correlation

No correlation

Positive correlation

All of the above

What type of correlation is shown in this plot?

Positive

Negative

No Correlation

The form: $y=a\left(x-h\right)^2+k\$ Is which form of a quadratic equation?

Standard Form

Vertex Form

Factored Form

Does this graph in the back have maximum or minimum value?

maximum

minimum

neither

both

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

y = -2

x = 3

x = -3

y = 2

10.

Find the y-intercept of f(x) = 2x²-2x + 1

-2

-1

11.

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

(5, -4)

(-5, -4)

(-15, -4)

(15, -4)

12.

Determine how many solutions:

One Solution

Two Solutions

No Solutions

Infinitely Many Solutions

13.

Find the zeros.

0 and 4

0 and -4

-4

14.

What are the solutions to this equation? (x-3)(x+2)=0

x=3,-2

x=-3,2

x=2,3

x=3,2

15.

Solve by factoring: x² + 3x - 18 = 0

x = -3 and x = 6

x = 3 and x = -6

x = -9 and x = 2

x = 9 and x = -2

16.

Solve for x:

(x + 6)²= 49

x=7,12

x=±7

x=1,-13

x=43,-55

17.

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?

.25 ft

24 ft

25 ft

8 ft

18.

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation:

h = -16t²+ 7t + 4

models the toy's height, h, from the ground at t seconds after he threw it. What was the initial velocity of the toy when it was thrown?

2 ft/sec

7 ft/sec

4 ft/sec

16 ft/sec

19.

Determine the number of solutions to the given linear-quadratic system.

0 solutions

1 solution

2 solutions

3 solutions

20.

What is the solution to the linear-quadratic system graphed in the picture.

(0, 0)

(3, 0)

(2, -3)

(-3, 2)

21.

Classify by degree of polynomial:
9x

Constant

Linear

Quadratic

Cubic

22.

Classify:
6x³+3x²+2x−4

Monomial

Binomial

Trinomial

Polynomial

23.

Which polynomial is in standard form?

2 + x + 4

x⁴ + x⁷

2 + x² + 3x

2x³ + 3x² + x + 4

24.

What is the degree?

Positive

Negative

Odd

Even

25.

What is the leading coefficient?

Positive

Negative

Odd

Even

26.

Add the polynomials:
(3x³+3x²–4x+5) + (x³–2x²+x–4)

4x³ + 1x² – 3x + 1

2x³ + 1x² - 5x + 9

6x³ + 1x - 1x² - 3

3x⁵ +1x - 1x⁵ - 3x

27.

Find the product.
(x+7)²

x²+ 7x + 7x + 49

x²+ 7x + 7

7x²+ x + 7

x² + 14x + 49

Reset

Algebra 2 Chapter 1- 4.2 Review

Total questions: 27

Worksheet time: 13mins

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