Free Printable HAM: EOY MAP review

1.

What is the Domain of this exponential function?

a)

y=1

b)

x=0

c)

All Real Numbers

d)

x>0

2.

What is the range of the exponential function?

a)

all real numbers

b)

y > -3

c)

y < -3

d)

x > -3

3.

My horizontal asymptote is y = (a)

4.

What equation represents the quadratic function?

a)

y = (x - 8)²

b)

y = (x + 8)²

c)

y = x² - 8

d)

y = x² + 8

5.

What equation represents the quadratic function?

a)

y = (x - 5)² - 3

b)

y = (x - 5)² + 3

c)

y = (x + 5)² - 3

d)

y = (x - 3)² - 5

6.

What is the vertex of y= x²+ 4x + 3?

Hint: First, find Axis of Symmetry

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

7.

What is the axis of symmetry equation for y = 4x²+ 8x + 8?

a)

x = -1

b)

x = 1

c)

x = 2

d)

x = -2

8.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

9.

Which of the following exponential growth functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

10.

Find the common difference in this arithmetic sequence: -18, -23, -28, -33, ...

a)

d = -5

b)

d = 7

c)

d = -3

d)

d = 4

11.

Find the next three terms for the geometric sequence:
64, 16, 4,...

a)

0, -4, -8

b)

1, ¼, 1/16

c)

1, -3, -7

d)

cannot be determined

12.

What is the common ratio of 9,-36, and 144?

a)

-47

b)

4

c)

-4

d)

27

13.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ____, _____, _____, ...

a)

32, 8, 2

b)

1024, 2048, 4096

c)

92, 66, 38

d)

64, 32, 16

14.

Factor:
80x⁵-70x²-60x⁷

a)

2x²(80x³-70-60x⁶)

b)

10x²(80x⁴-70x-60x⁶)

c)

10x²(8x³-7-6x⁵)

d)

3x²(80x³-40-60x⁵)

15.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

16.

Factor the difference of squares:

9x²- 49y⁶

a)

( 3x + 7y³) (3x + 7y³)

b)

( 3x - 7y³) (3x + 7y³)

c)

( 3x - 7y³) (3x - 7y³)

d)

Prime

17.

What is the first step in factoring the given trinomial?

$3a^2-21a-90$

a)

Write as two binomials

b)

Factor out the greatest common factor (GCF)

c)

Multiply a * c

d)

Write b

18.

Which expression represents 5x²+11x+2 in factored form?

a)

(x+1)(5x+2)

b)

5(x+2)(x+1)

c)

(x+2)(5x+1)

d)

(x-5)(5x-1)

19.

Solve the system of equations:

5x + 4y= −14
y = −7x − 15

a)

(-2, -1)

b)

(1, -2)

c)

(-2, 1)

d)

(-1, -2)

20.

What are the factors of
$x^2+5x+4$

a)

$\left(x+2\right)\left(x+3\right)$

b)

$\left(x-1\right)\left(x-4\right)$

c)

$\left(x-1\right)\left(x+5\right)$

d)

$\left(x+1\right)\left(x+4\right)$

21.

An exponential equation that gets smaller by a percentage each time.

a)

Decay

b)

Increase

c)

Multiply

d)

Subtract

22.

Graph Flipped over X-Axis

a)

Reflection of X-Axis

b)

Reflection of Y-Axis

c)

Similar Axis

d)

Rotation of X-Axis

23.

Another word for X-Intercept

a)

Root

b)

Initial Value

c)

Slope

d)

Y-Intercept

24.

a)

Slope-intercept Form

b)

Standard Form

c)

Point-slope Form

d)

Slope Formula

25.

A sequence whose successive terms differ by the same nonzero number d, called the common difference.

a)

Linear Function

b)

Explicit Rule

c)

Recursive Rule

d)

Arithmetic Sequence

26.

What is the vertex of a parabola?

a)

The point where the parabola changes direction, either the highest or lowest point.

b)

The point where the parabola intersects the x-axis.

c)

The distance from the vertex to the focus of the parabola.

d)

The line that divides the parabola into two symmetrical halves.

27.

What is the axis of symmetry in a parabola?

a)

A vertical line that divides the parabola into two mirror-image halves.

b)

A horizontal line that intersects the parabola at its vertex.

c)

A diagonal line that runs from one side of the parabola to the other.

d)

A curved line that follows the shape of the parabola.

28.

What is a linear function?

a)

A function that graphs to a straight line, represented by the equation y = mx + b.

b)

A function that has a constant rate of change and forms a curve on a graph.

c)

A function that can be represented by a quadratic equation.

d)

A function that does not have a defined slope.

29.

Simplify. Your answer should contain only positive exponents.

\frac{4x^2y}{2x}

(a)

30.

Simplify. Your answer should contain only positive exponents.

$2a^2b^3\cdot4ab^2$

a)

$8a^3b^5$

b)

$2ab^2$

c)

$8a^2b^5$

d)

$\frac{1}{2}ab$

31.

Simplify. Your answer should contain only positive exponents.

3⁴⋅ 3⁷

a)

3¹⁴

b)

3³

c)

3^-3

d)

3¹¹

32.

Simplify. Your answer should contain only positive exponents.

(8⁵)³

a)

$8^8$

b)

$8^{15}$

c)

$8^2$

d)

$\frac{1}{8^2}$

33.

Simplify. Your answer should contain only positive exponents.

6^-4

a)

$6^4$

b)

$\frac{1}{6^{4\ }}$

c)

$\frac{1}{6}$

d)

$6^2$

34.

Which of these is the Standard Form of a Linear Equation?

a)

y = mx+b

b)

Ax + Bx + C = 0

c)

y - y1 = m(x - x1)

d)

I = Prt

35.

What is the vertex?

a)

(-3, 0)

b)

(3, 0)

c)

(0, 18)

d)

(18, 0)

36.

Which statement about the graph is FALSE?

a)

The vertex is also a zero of the function

b)

The y-intercept is (0, -2)

c)

The axis of symmetry is x = 2

d)

The range is y ≥ 0

37.

a)

b)

c)

d)

38.

a)

b)

c)

d)

39.

Write the recursive formula for 6, 17, 28, 39, 50....

a)

a_n=a_n-1+11
a₁=6

b)

a_n=a_n-1-4
a₁=6

c)

a_n=a_n-1+9
a₁=6

d)

a_n=a_n-1+6
a₁=6

40.

Find the 4th term for the sequence defined by a₁=9; a_n=a_n-1+8

a)

35

b)

17

c)

41

d)

33

41.

Solve by graphing.
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

42.

Solve the following system by graphing. What is the solution?

a)

(3, -1)

b)

(-1, -3)

c)

(-1, -1)

d)

(-1, 3)

43.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

44.

Simplify the following radical: √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

45.

Simplify.

a)

b)

c)

d)

46.

Simplify.

a)

b)

c)

d)

47.

Simplify the expression.
(xy)⁷

a)

x⁷y⁷

b)

xy⁷

c)

xy¹⁴

d)

x⁷/y⁷

48.

Simplify
(3x³y⁵)⁴

a)

3x¹²y²⁰

b)

81x¹²y²⁰

c)

12x¹²y²⁰

d)

81x⁷y⁹

49.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

50.

a)

-5x¹⁰

b)

4x⁴+ 18x⁶

c)

-6x⁴+ 16x²

d)

4x⁴- 9x²

51.

Simplify: $\frac{30x^3y^5}{10x^2y^3}$

a)

$-3xy^2$

b)

$10xy^2$

c)

$3x^5y^8$

d)

$3xy^2$

52.

$\frac{2x^3+7x^2-6x-8}{x+4}$

a)

$2x^2-x-2$

b)

$2x^3-x^2-2x$

c)

$2x^2+15x+54+\frac{208}{x+4}$

d)

$2x^3+15x^2+54x+208$

53.

$\frac{x^2-12x+20}{x-2}$

a)

x+7

b)

x+2

c)

X-10

d)

X-7

54.

Simplify using your exponent rule(s) (5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

55.

$2^{-4}$

a)

$\frac{1}{-16}$

b)

-4

c)

$\frac{1}{16}$

d)

$\frac{1}{4}$

56.

$8^{-3}$

a)

$\frac{1}{-512}$

b)

$\frac{1}{64}$

c)

$\frac{1}{512}$

d)

-8

57.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

58.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

HAM: EOY MAP review

Total questions: 58

Worksheet time: 4hrs 0mins

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