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SOL HW Set #1 - Choice Board

Total questions: 23

Worksheet time: 12mins

Name
Class
Date
1.

Solve for x: 7x+1=10x+107x + 1 = 10x + 10

a)

x = -3

b)

x = 3

c)

x = 0

d)

x = 1

2.

Solve: 5(x7)=55(x - 7) = -5

a)

x = 6

b)

x = 0

c)

x = -2

d)

x = 1

3.

Solve for x and simplify the answer fully. x+3x+1=97\frac{x + 3}{x + 1} = \frac{9}{7}

a)

x = 6

b)

x = 2

c)

x = 5

d)

x = 7

4.

Solve the following inequality for w. Write your answer in simplest form. -2w + 4 ≤ -5w + 6

a)

w ≥ 2/3

b)

w ≤ 2/3

c)

w ≥ -4/5

d)

w ≤ -4/5

5.

What is the slope of the line that passes through the points (9, -8) and (25, -20)? Write your answer in simplest form.

a)

The slope of the line is -3/4.

b)

The slope of the line is 3/4.

c)

The slope of the line is -4/3.

d)

The slope of the line is 4/3.

6.

Which of the following is the equation of a line with a slope of 23\frac{2}{3} and a y-intercept of 1?

a)

y=23x+1y = \frac{2}{3}x + 1

b)

y=32x+1y = \frac{3}{2}x + 1

c)

y=23x1y = \frac{2}{3}x - 1

d)

y=32x1y = \frac{3}{2}x - 1

7.

Write the equation of the line in fully simplified slope-intercept form.

a)

y = 2x + 3

b)

y = -x + 7

c)

y = -6x - 7

d)

y = 6x - 7

8.

Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x15y=13512x - 15y = -135

a)

y=45x+9y = \frac{4}{5}x + 9

b)

y=54x9y = \frac{5}{4}x - 9

c)

y=45x9y = -\frac{4}{5}x - 9

d)

y=45x9y = \frac{4}{5}x - 9

9.

What is the equation of the line that passes through the point (-3, 3) and has a slope of 2/3?

a)

y = 2/3x + 5

b)

y = 2/3x - 5

c)

y = 3/2x + 5

d)

y = 3/2x - 5

10.

What is an equation of the line that passes through the points (3,2)(-3, -2) and (7,6)(-7, 6) ?

a)

y = 2x + 4

b)

y = -2x - 8

c)

y = -2x - 4

d)

y = 2x - 8

11.

Solve the system of equations graphed on the coordinate axes below. y=x4y = -x - 4 and y=x+4y = x + 4

a)

(-4, -4)

b)

(0, -4)

c)

(0, 4)

d)

(-4, 0)

12.

Solve the system of equations below. y=x5y = -x - 5 y=2x5y = 2x - 5

a)

(-5, 0)

b)

(0, -5)

c)

(-5, -5)

d)

(5, 5)

13.

Below are two inequalities. Identify which two points would be solutions to the system inequalities. y>4x4y > -4x - 4 y>15x6y > \frac{1}{5}x - 6

a)

(3, 7)

b)

(-6, -8)

c)

(6, -6)

d)

(6, 0)

14.

Which set of ordered pairs represents a function?

a)

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

b)

{(6, 0), (-4, 5), (0, 7), (6, 6)}

c)

{(-3, 3), (-8, -6), (6, 0), (-3, 2)}

d)

{(-7, 3), (-7, 8), (-4, -8), (1, -4)}

15.

Determine whether the following graph represents a function.

a)

Not a Function

b)

Function

16.

Given f(x)=5x4f(x) = -5x - 4 , find f(6)f(-6) .

a)

f(-6) = 26.

b)

f(-6) = 24.

c)

f(-6) = 28.

d)

f(-6) = 22.

17.

Find the value of f(5)f(5) .

a)

3

b)

-1

c)

5

d)

8

18.

Find the range of the function defined by the table below. Express your answer as a set of numbers.

a)

{0, -9, -1}

b)

{-9, 0, 1}

c)

{9, 7, -1}

d)

{0, 1, -9}

19.

Simplify: (x2)6(x^2)^6 .

a)

x12x^{12}

b)

x8x^8

c)

x6x^6

d)

x4x^4

20.

Fully simplify using only positive exponents. 16xy640x7y5\frac{16xy^6}{40x^7y^5}

a)

2y5x6\frac{2y}{5x^6}

b)

2x5y6\frac{2x}{5y^6}

c)

8xy20x6y4\frac{8xy}{20x^6y^4}

d)

16x40y6\frac{16x}{40y^6}

21.

Represent the following phrase as an algebraic expression. Nine times the difference of 1 and a number.

a)

9 (1 - x)

b)

9 (x - 1)

c)

1 - 9 * x

d)

9 - x

22.

Represent the following phrase as an algebraic expression. 2 less than 9 times a number squared.

a)


2  9x22\ -\ 9x^2

b)

9x229x^2-2

c)

29x2\frac{2}{9x^2}

d)

9x22\frac{9x^2}{2}

23.

Find the equation of the exponential function represented by the table below:

a)

y=2xy = 2^x

b)

y=12(2)xy=\frac{1}{2}\left(2\right)^x

c)

y=12xy=\frac{1}{2}^x

d)

y=2(12)xy=2\left(\frac{1}{2}\right)^x