Free Printable SMT Review

1.

Simplify the expression (2x + 3)(3x + 4)

a)

6x² + 17x + 7

b)

6x² + 17x + 12

c)

6x² + 8x + 12

d)

6x² + 9x + 12

2.

Simplify the expression (2x + 3)(2x + 5)

a)

4x² + 16x + 15

b)

4x² + 16 + 15

c)

4x² + 16x + 15x

d)

4x + 16x + 15

3.

Divide.

a)

(x + 4)/(x + 3)

b)

x + 5

c)

x + 4, Remainder 5

d)

x + 4, Remainder -5

4.

(m³-7m²-24m-62)÷(m-10)

a)

m²+3m+6, Remainder 2

b)

m²+3m+4, Remainder -4

c)

m²+3m+6, Remainder -2

d)

m²+3m+3, Remainder 1

5.

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.

a)

7x + 13y < 81

b)

7x + 13y ≥ 81

c)

7x + 13y ≤ 81

d)

7x + 13y > 81

6.

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

a)

x + 2y < 240

b)

x + 2y > 240

c)

x + 2y ≤ 240

d)

x + 2y ≥ 240

7.

Factor the expression

180m² - 5

a)

5(36m² - 1)

b)

5m(36m - 1)

c)

5(6m + 1)(6m - 1)

d)

Prime

8.

Factor

4x²-16

a)

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

b)

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

c)

4(x-2)²

d)

4(x-2)(x+2)

9.

Solve for x

x² + 3x - 18 = 0

a)

{-3, 6}

b)

{3, -6}

c)

{-9, 2}

d)

{-2, 9}

10.

Solve for x

x² + 2x – 3 = 0

a)

{-1, 2}

b)

{-1, 3}

c)

{-2, 1}

d)

{-3, 1}

11.

What are the zeros?

a)

-2

b)

-1

c)

0

d)

1

e)

2

12.

Identify the zeros of the function

a)

-3

b)

-1

c)

1

d)

3

e)

4

13.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

14.

Which of the following is a solution?

$9x^2-7x-4=0$

a)

$\frac{-7+\sqrt{193}}{18}$

b)

$\frac{7+\sqrt{193}}{18}$

c)

$\frac{7-\sqrt{95}}{18}$

d)

$\frac{-7-\sqrt{95}}{18}$

15.

Find the missing value "c" to create a perfect square trinomial:
x² – 8x + ___

a)

-4

b)

16

c)

4

d)

8

16.

Which number do you add to complete the square?

y^2+\frac{3}{5}y

a)

$\frac{9}{100}$

b)

$\frac{3}{10}$

c)

$\frac{3}{4}$

d)

$\frac{6}{5}$

17.

$\frac{n}{2n+10}+\frac{1}{n^2-25}$

a)

$\frac{2n-3}{2\left(n-5\right)\left(n-5\right)}$

b)

$\frac{n+2}{\left(n+5\right)\left(n-5\right)}$

c)

$\frac{n+1}{n^2+2n-15}$

d)

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

18.

$\frac{r-3}{r^2+6r+9}-\frac{r-9}{r^2-9}$

a)

$\frac{2r-12}{\left(r+3\right)\left(r-3\right)}$

b)

$\frac{6}{6x+18}$

c)

$\frac{36}{\left(r+3\right)\left(r+3\right)\left(r-3\right)}$

19.

Choose the correct translated function.

a)

f(x)= -(x+1)²+4

b)

f(x)= (x-1)²-4

c)

f(x)= -(x+1)²-4

d)

f(x)= -(x+4)²-1

20.

Parent function, f(x) = x². Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.

a)

b)

c)

d)

21.

Which of the following is a transformation of the graph y = (x - 5)² ?

a)

Shifts right 5.

b)

Shifts left 5.

c)

Shifts up 5.

d)

Shifts down 5.

22.

Which of the following is a transformation of the graph y = x² + 4 ?

a)

Shifts left 4.

b)

Shifts right 4.

c)

Shifts up 4.

d)

Shifts down 4.

23.

Which equation reflects $f\left(x\right)=x^2$ over the x-axis?

a)

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

b)

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

c)

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

d)

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

24.

Which of the following statements are TRUE?

Select all that apply.

a)

The "a" value is positive.

b)

The y-intercept is positive.

c)

It has two zeros.

d)

The axis of symmetry is x = 1.

e)

The vertex is at (0, 5).

25.

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

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

26.

What is the y-intercept?
f(x) = -2x² + 4x - 6

a)

(0, 6)

b)

(0, -6)

c)

(6, 0)

d)

(-6, 0)

27.

What is the vertex of the quadratic below:

y=3x^2-6x+8

Leave NO spaces in your answer and include parentheses.

(a)

28.

Find the zeros

4b^2+24b-28=0

a)

4

b)

-7

c)

-1

d)

1

e)

6

29.

Find the zeros

2x^2+2x-24=0

a)

-4

b)

12

c)

3

d)

2

e)

-3

30.

Select the quadratic formula

You need to have this memorized

a)

$x=\frac{-b\pm\sqrt{4ac^2}}{2b}$

b)

$x=\frac{b^2\pm\sqrt{-b+4ac}}{2c}$

c)

$x=\frac{b\pm\sqrt{-b^2-4ac}}{2c}$

d)

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

31.

Does this function have real roots?
$2x^2+3x-3=0$

a)

yes

b)

no

32.

Does this function have real roots?
$3x^2-3x+8=0$

a)

yes

b)

no

33.

Simplify the following expression:
19 - ( 3 - 5b)

a)

16 + 5b

b)

21 + 5b

c)

16 - 5b

d)

21 - 5b

34.

Which expression is equivalent to (8n - 6) - (5n + 4) ?

a)

3n – 2

b)

3n – 10

c)

13n – 2

d)

13n – 10

35.

Simplify $\left(x^2-3x+2\right)-\left(4x^2+2x-5\right)$

a)

$5x^2+x-3$

b)

$-3x^2-5x+7$

c)

$-6x^2-5x-7$

d)

$8x^2+2x-5$

36.

On the graph of a system of equations, where are the solutions to the system?

a)

Where the graphs intersect

b)

The y-intercepts of the graph

c)

The x-intercepts of the graph

d)

The maximum

37.

What are the solutions to the system of equations?

a)

(1,-1)

b)

(0,2)

c)

(0,-2)

d)

(4,2)

e)

(2,0)

38.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

39.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

40.

What percentage of SUV's are driven by women?

a)

56.25%

b)

75%

c)

83.25%

d)

86.5%

41.

What percent of people who play an instrument do not play a team sport?

a)

80%

b)

27.2%

c)

40%

d)

90.1%

42.

Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?

a)

$y=-\frac{5}{2}x+7$

b)

$y=\frac{5}{2}x-19$

c)

$y=\frac{2}{5}x$

d)

$y=2x-5$

43.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

44.

Are the two linear equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

45.

Determine if the given pair of lines is parallel, perpendicular, or neither.
y=-3x+5 & y=-3x-15

a)

parallel

b)

perpendicular

c)

neither

46.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

47.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

48.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

49.

Graph. y = -4

a)

a

b)

b

c)

c

d)

d

50.

Which line passes through (-4, 3) and has a slope of zero?

a)

b)

c)

d)

51.

Select all of the following that are true.

a)

The initial height of the water is zero feet

b)

The maximum height of the water is 24 feet

c)

At the point (5,13) the water was 5 feet off the ground

d)

The water hit the ground 42 feet from the starting point

52.

A survey was conducted among middle school students to determine if they preferred chocolate or vanilla ice cream. 19 out of 40 girls preferred chocolate. Twenty-seven out of 40 boys preferred vanilla. How many girls preferred vanilla?

a)

21

b)

40

c)

27

d)

46

53.

What is the relative frequency of electrical engineers who prefer math?

a)

0.339

b)

0.486

c)

0.165

d)

0.217

54.

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

a)

f(x) = 25.05x + 5.57

b)

f(x) = 5.57x + 25.05

c)

f(x) = -5.57x + 25.05

d)

f(x) = 5.57x - 25.05

55.

Caroline weighs her new puppy every month to see how much it has grown. If age is a and weight is W, which of these is the correct equation for the line of best fit?

a)

W = 3.6 + 8.9

b)

W = 3.6a + 8.9

c)

a = 8.9W + 3.6

d)

W = 8.9a + 3.6

SMT Review

Total questions: 55

Worksheet time: 3hrs 45mins

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