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Worksheets

High School Math Fun

Total questions: 15

Worksheet time: 23mins

Name
Class
Date
1.

Find the equation of a line with a slope of 3 and a y-intercept of 7

a)

y=13x+7y=\frac{1}{3}x+7

b)

y=17x+3y=\frac{1}{7}x+3

c)

y=7x+3y=7x+3

d)

y=3x+7y=3x+7

2.

Find the y-intercept of line with a slope of -5 and passes through the point (2,3) then find the equation.

a)

b=13, y=−5x+13b=13,\ y=-5x+13

b)

b=2b=2 , y=−5x+2y=-5x+2

c)

b=−5, y=−5x−5b=-5,\ y=-5x-5

d)

b=9, y=−5x+9b=9,\ y=-5x+9

3.

What are the x-intercepts of the following equation (x−2)(x+3)\left(x-2\right)\left(x+3\right)  

a)

 (2,0) and (3,0)\left(2,0\right)\ and\ \left(3,0\right)  

b)

 (2,0) and (−3,0)\left(2,0\right)\ and\ \left(-3,0\right)  

c)

 (−2,0) and (3,0)\left(-2,0\right)\ and\ \left(3,0\right)  

d)

 (−2, 0) and (−3,0)\left(-2,\ 0\right)\ and\ \left(-3,0\right)  

4.

Find the solutions of the equation  x2−3x−28x^2-3x-28  

a)

 x=4 and −7x=4\ and\ -7  

b)

 x=2 and 14x=2\ and\ 14  

c)

 x=−4 and 7x=-4\ and\ 7  

d)

 x=−2  and 14x=-2\ \ and\ 14  

5.

Find the solution of the two equations using any method you choose.  2x−4y=722x-4y=72  and  y=3x−8y=3x-8  

a)

 (5, 8)\left(5,\ 8\right)  

b)

 (−4, −20)\left(-4,\ -20\right)  

c)

 (−9, 32)\left(-9,\ 32\right)  

d)

 (13, −9)\left(13,\ -9\right)  

6.

If the measure of Angle 4 is 117 degrees what is the measure of Angle 8?

a)

132 Degrees

b)

117 Degrees

c)

63 Degrees

d)

48 Degrees

7.

What is the relationship between angle 4 and angle 5 called?

a)

Vertical Angles

b)

Alternate Exterior Angles

c)

Alternate Interior Angles

d)

Same Side Interior Angles

8.

Are the two triangles considered similar based on the given information.

a)

Yes, because of Angle-Angle Theorem

b)

Yes, because of Side-Angle-Side Theorem

c)

No, because the side lengths are not the same length

d)

Not enough information

9.

What is the exact value of  cos⁡θ\cos\theta  

a)

 513\frac{5}{13}  

b)

 1312\frac{13}{12}  

c)

 125\frac{12}{5}  

d)

 1213\frac{12}{13}  

10.

Using the picture and the fact that Angle E and Angle A are Right Angles, are the two triangles Congruent?

a)

Yes because of Side-Side-Side

b)

Yes because of Side-Side-Angle

c)

Yes because of Angle-Angle-Side

d)

No, not enough information to determine congruence

11.

Using the function  f(x)=2x2−3f\left(x\right)=2x^2-3 , find  f(−3)f\left(-3\right)  

a)

24

b)

15

c)

-18

d)

-21

12.

Find the function in factored form that represents the graph shown.

a)

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

b)

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

c)

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

d)

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

13.

Find the Mean, Median, and Mode for the price of one unit of spam throughout 9 years


$0.99, $1.25, $1.03, $1.79, $1.80, $1.74, $1.80, $2.19, $2.25

a)

Mean:$1.65, Median: $1.79, Mode:$1.80

b)

Mean:$1.79, Median: $1.80, Mode:$2.25

c)

Mean:$1.25, Median: $1.80, Mode:$0.99

d)

Mean:$1.65, Median: $1.80, Mode:$1.74

14.

Find all zeros of the following polynomial function.

 x3+3x2−4x−12=0x^3+3x^2-4x-12=0  

a)

 x=−12, −4, and 3x=-12,\ -4,\ and\ 3  

b)

 x=0, 2, and 3x=0,\ 2,\ and\ 3  

c)

 x=−3, −2, and 2x=-3,\ -2,\ and\ 2  

d)

 x=2, 3, and 6x=2,\ 3,\ and\ 6  

15.

Simplify the following rational expression.
 x2+2x−243x2−12x\frac{x^2+2x-24}{3x^2-12x}  

a)

 (x+6)(x+4)x(3x−12) where x≠0\frac{\left(x+6\right)\left(x+4\right)}{x\left(3x-12\right)}\ where\ x\ne0  

b)

 (x+6)(x−4)3x(x−4)where x≠4\frac{\left(x+6\right)\left(x-4\right)}{3x\left(x-4\right)}where\ x\ne4  

c)

 (x+6)3xwhere x≠0\frac{\left(x+6\right)}{3x}where\ x\ne0  

d)

 (x+6)3x(x−4)where x≠4\frac{\left(x+6\right)}{3x\left(x-4\right)}where\ x\ne4