Free Printable Midyear Exam Review 1

1.

Solve:

$-7-2x=1-x$

a)

$x=-16$

b)

$x=-8$

c)

$x=10$

d)

$x=-10$

2.

Janet walks for 30 hours a week. Sometimes she walks at a rate of 2 miles per hour and sometimes she walks at a faster rate of 3 miles per hour. Let m represent the time she walks at the faster rate. Write an expression to represent the miles she walks in a week. (On the test, you will then simplify the expression.)

a)

$3m+2\left(30-m\right)$

b)

$2m+30m$

c)

$2m+3\left(m-30\right)$

d)

$30\left(3m\right)$

3.

Solve:

$-5(2x-4)=2(10-5x)$

a)

No Solution

b)

x = 0

c)

Infinite Solution

d)

x = -2

4.

Name the x- and y-intercepts for the equation: $5x-3y=15$

a)

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

b)

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

c)

(5, 15) and (15, 3)

d)

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

5.

The equation x = -4 would form a ___________ line.

a)

HORIZONTAL

b)

VERTICAL

c)

DIAGONAL

6.

Which graph is represented by the equation y = -4?

a)

b)

c)

d)

7.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

8.

Find the slope of the line that passes through (-9, -6) and (-9, -10)

a)

0

b)

Undefined

c)

-3

d)

-9

9.

Use the point-slope formula to write an equation in slope-intercept form of the line that passes through (4, -7) and has the given slope m = -1/4.

a)

y = -1/4x + 6

b)

y = -1/4x - 6

c)

y = -1/4x - 8

d)

y = -1/4x + 8

10.

g(x) = 3x + 1
g(2) = _______

a)

6

b)

7

c)

8

d)

9

11.

Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE

a)

75x-10 ≥ 300

b)

75+10 ≤ 300x

c)

10x ≥ 300

d)

75+10x ≤ 300

12.

Solve:

$4-7y\le18$

a)

y ≤ -2

b)

y ≤ -8

c)

y ≤ 3.1415926589

d)

y ≥ -2

13.

Solve:

$-3\le2x-1\le5$

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

14.

Solve:

$3x+2<-7\ \ or\ \ -4x+5<1$

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

15.

A line has a slope of 2/3. What is the slope of a perpendicular line?

a)

-2/3

b)

2/3

c)

3/2

d)

-3/2

16.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

$y=-\frac{1}{2}x+\frac{5}{2}$

17.

Which two equations below are perpendicular?

a)

y = -3x + 2 and y = -2x + 2

b)

y = 3x + 1 and y = 3x + 1

c)

y = -x + 1 and y = -x - 2

d)

y = 3x - 4 and y = -1/3x - 2

18.

Solve for y:

5x + 3y = -42

a)

y = (-3/5)x - 14

b)

y = (3/5)x + 14

c)

y = (5/3) x - 14

d)

y = (-5/3)x - 14

19.

Solve for x:
$m\ =\frac{x+y}{2}$

a)

$\ 2m-y=x$

b)

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

c)

$\frac{m-y}{2}=x$

d)

$2\left(m-y\right)=x$

20.

What is the Range?

a)

y ≥ 6

b)

y ≤ 6

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

21.

What is the range?

a)

{-4, -1, 0, 2, 7}

b)

{-5, -4, -1, 0, 1, 2, 4, 7}

c)

{-5, 0, 1, 2, 4}

d)

{5}

22.

Is the relation shown a function?

a)

No, because the x-value 11 is paired with 5 and 8.

b)

Yes, because each x-value has only one y-value paired with it.

23.

What is the domain of the table?

a)

{-4, 0, 1, 3}

b)

{-2, 0, 2, 3}

c)

{-4, -2, 0, 1, 2, 3}

d)

{ (0, 0), (2, -4), (3, 3), (-2, 1) }

24.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

25.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

(1, 2) (3, 8) (-3, 6)

b)

(1, 2) (8, 3) (-3, 6)

c)

(-1, -2) (-3, -8) (3, -6)

d)

(2, 1) (8, 3) (6, -3)

26.

reflection over x-axis, horizontal stretch

a)

g(x) = ½f(-x)

b)

g(x) = -f(¼x)

c)

g(x) = -3f(x)

d)

g(x) = -f(4x)

27.

vertical stretch, translation left 3

a)

½f(x + 3)

b)

4f(x - 3)

c)

4f(x) + 3

d)

4f(x + 3)

28.

Solve:

$2x+3\ge5\ \ and\ \ 4x-1\le7$

a)

x ≥ 1 and x ≤ 2

b)

x ≥ 0 and x ≤ 3

c)

x ≥ 1 and x ≤ 3

d)

x ≥ 0 and x ≤ 2

29.

What is the slope of a line parallel to the line passing through the points (1, 2) and (3, 6)?

a)

- 1/2

b)

2

c)

- 4

d)

3

30.

What steps transform the graph $f\left(x\right)$ to $g\left(x\right)=-\frac{1}{2}f\left(x-4\right)+1$ ?

a)

Compressed by 1/2, shifted 4 units right and 1 unit up

b)

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

c)

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

d)

Stretched by 1/2, shifted 4 units right and 1 unit down

Midyear Exam Review 1

Total questions: 30

Worksheet time: 4hrs 47mins

Similar Resources on Wayground