Free Printable Math 3 Unit 1

1.

$y=\frac{5}{3}x-3$

a)

b)

c)

d)

2.

Identify the x-intercepts for the function:

y=\left(x-1\right)\left(x-2\right)\left(x-5\right)

a)

$x=1,2,5$

b)

$x=-1,-2,-5$

c)

$x=-10$

d)

$x=1,-2,5$

3.

Identify the y-intercept for the function:

y=\left(x-1\right)\left(x-2\right)\left(x-5\right)

a)

$y=10$

b)

$y=2$

c)

$y=-10$

d)

$y=5$

4.

Determine the LEFT END BEHAVIOR for the function:

y=\left(x-1\right)\left(x-2\right)\left(x-5\right)

a)

$\infty$ or UP

b)

$-\infty$ or UP

c)

$-\infty$ or DOWN

d)

$\infty$ or DOWN

5.

Determine the RIGHT END BEHAVIOR for the function:

y=\left(x-1\right)\left(x-2\right)\left(x-5\right)

a)

$\infty$ or UP

b)

$-\infty$ or UP

c)

$-\infty$ or DOWN

d)

$\infty$ or DOWN

6.

Determine the DOMAIN for the function:

y=\left(x-1\right)\left(x-2\right)\left(x-5\right)

a)

all real numbers, $x\ne1,2,5$

b)

all real numbers

c)

all real numbers, $x\ne-10$

d)

all real numbers, $y\ne0$

7.

Does the equation open or or down?
Y = -3x² +7x - 2

a)

up

b)

down

8.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

9.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

$\left(-\infty,-7\right)U\left(1,\infty\right)$

b)

$\left(-\infty,-7\right)U\left(-1,\infty\right)$

c)

$\left(-7,-1\right)$

d)

no solution

12.

Which compound inequality represents the graph?

a)

$\left(-\infty,-1\right)U\left(2,\infty\right)$

b)

$\left(-1,2\right)$

c)

$\left(-\infty,-1\right]U\left[2,\infty\right)$

13.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

14.

Solve by factoring

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

15.

What are the values of x does the quadratic equation 3(x - 2)² = 27 have?

a)

x = 7 and x = -1

b)

x = 1 and x = -7

c)

x = 5 and x = -1

d)

x = 1 and x = -5

16.

For synthetic division, what would be the number in the left hand box?

a)

0

b)

1

c)

2

d)

3

17.

Factor.

x³ - 4x² -4x + 16

a)

(x+4)(x+2)

b)

(x-4)(x² -4)

c)

(x+4)(x² -4)

d)

(x-4)(x-2)(x+2)

18.

Factor the following binomial: 8x³-27

a)

(2x+3)(4x²-6x+9)

b)

(2x-3)(4x²+6x+9)

c)

(2x-3)(4x²+6x-9)

d)

(2x-3)(2x²+6x+9)

19.

$\frac{2a-20}{6a}\times\frac{a-9}{a-10}$ Simplify

a)

$\frac{2a^2-180}{6a^2-60a}$

b)

$\frac{2\left(a-9\right)}{6a}$

c)

$\frac{a-9}{3a}$

d)

$\frac{3a-29}{7a-10}$

20.

$\frac{m^2+m-30}{m^2+13m\ +42}\div\frac{m-2}{m+7}$ Simplify

a)

$\frac{m-5}{m-2}$

b)

$\frac{\left(m-5\right)\left(m-2\right)}{\left(m+7\right)^2}$

c)

$\frac{m^2+2m-32}{m^2+14m+49}$

d)

$\frac{-5}{2m^2}$

21.

Simplify.

a)

(x+6)/(x+4)

b)

(x+6)(x+4)

c)

(x+6)

d)

(x+6)/(x-5)

22.

Describe the transformations of the function.

a)

Shifted right by 4 units

Shifted down by 7 units

Stretched Vertically

b)

Shifted right by 4 units

Shifted up by 7 units

Stretched Vertically

c)

Shifted right by 4 units

Shifted down by 7 units

Compressed Vertically

d)

Shifted left by 4 units

Shifted down by 7 units

Compressed Vertically

23.

Identify the vertical asymptotes

a)

A

b)

B

c)

C

d)

D

24.

Which of the following represents the graph below?

a)

b)

c)

d)

25.

A group of lobbyists has a list of 100 senators. They decide to talk to every 7th senator on the list about their position on farm subsidies.

a)

Convenience

b)

Systematic

c)

Self-Selected

d)

Simple Random

26.

A teacher puts all her students' names in hat, then selects 3 names from the hat. These students will take a standardized test.

a)

Convenience

b)

Systematic

c)

Self-Selected

d)

Simple Random

27.

The data is normally distributed. What percentage of the data is in the shaded region?

a)

68%

b)

34%

c)

50%

d)

84%

28.

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

a)

68%

b)

99.7%

c)

95%

d)

84%

29.

What is the IQR of the test score distribution?

(a)

30.

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall?

a)

-5

b)

-2

c)

2

d)

5

31.

A national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?

a)

82

b)

88

c)

100

d)

118

Math 3 Unit 1 - 5 Review

Total questions: 31

Worksheet time: 28mins

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