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Worksheets

Do Now (Week 4. 2/7 - 2/11)

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

If 3t - 7 = 5t, then 6t = ?

a)

21

b)

-7

c)

-21

d)

-42

2.

The variables x and y are directly proportional, and y = 2 when x = 3. What is the value of y when x = 9?

a)

4

b)

6

c)

8

d)

12

3.

In the xy - plane, point C has coordinates (6, 9). Which of the following is an equation of the line that contains points O and C?

a)

y = x - 3

b)

y = x + 3

c)

y=23xy=\frac{2}{3}x  

d)

y=32xy=\frac{3}{2}x  

4.

A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sandwiches cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches was $113.50, how many sandwiches were ordered?

a)

7

b)

8

c)

9

d)

10

5.

A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sandwiches cost $7.75 each and the soups cost $4.50 each. If the total cost of all 18 lunches was $113.50, how many soups were ordered?

a)

7

b)

8

c)

9

d)

10

6.

Which of the following equations has both 1 and -3 as solutions?

a)

x22x3x^2-2x-3  

b)

x2+2x3x^2+2x-3  

c)

x24x+3x^2-4x+3  

d)

x2+4x+3x^2+4x+3  

7.

In the xy-plane, what is the y-intercept of the graph of the equation

y = 2(x + 3)(x - 4)?

a)

-24

b)

-12

c)

-2

d)

12

8.

x41=?x^4-1=?  

a)

(x+1)(x1)(x2+1)\left(x+1\right)\left(x-1\right)\left(x^2+1\right)  

b)

(x+1)2(x1)2\left(x+1\right)^2\left(x-1\right)^2  

c)

(x+1)3(x1)1\left(x+1\right)^3\left(x-1\right)^1  

d)

(x1)4\left(x-1\right)^4  

9.

(3x2y3)3=?\left(3x^2y^3\right)^3=?  

a)

3x5y63x^5y^6  

b)

9x6y99x^6y^9  

c)

27x5y627x^5y^6  

d)

27x6y927x^6y^9  

10.

If 5x=4\sqrt[]{5-x}=4 , then x = ?

a)

-21

b)

-11

c)

1

d)

11

11.

If x1x=20\frac{x-1}{x}=20 , then x = ?

a)

-21

b)

-19

c)

119-\frac{1}{19}  

d)

121\frac{1}{21}  

12.

A ball was kicked into the air from a balcony 20 feet above the ground, and the ball's height above the ground, in feet, t seconds after the ball was kicked, was h(t)=2016t2+32th\left(t\right)=20-16t^2+32t . What is the maximum height, in feet, of the ball above the ground after it was kicked?

a)

32

b)

34

c)

36

d)

40

13.

The yard behind the Cindy's house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet longer than the width w of the yard, what is the area of the yard, in square feet?

a)

36

b)

144

c)

243

d)

486

14.

The graph of quadratic function g is shown on the grid. The coordinates of the x-intercepts, the y-intercept, and the vertex are integers. What is the maximum value of g?

a)

(0, 8)

b)

(-4, 0)

c)

(8, 0)

d)

(2, 9)

15.

Which table represents y as a function of x?

a)

F

b)

G

c)

H

d)

J

16.

Which statement about f(x)=2x23x5f\left(x\right)=2x^2-3x-5 is true ?

a)

The zeros are 52-\frac{5}{2} and -1, because

f(x) = (x + 1)(2x + 5)

b)

The zeros are 52-\frac{5}{2} and 1, because

f(x) = (x - 1)(2x + 5)

c)

The zeros are

52\frac{5}{2} and -1, because

f(x) = (x + 1)(2x - 5)

d)

The zeros are

52\frac{5}{2} and 1, because

f(x) = (x - 1)(2x - 5)

17.

Which graph shows a line with an x-intercept of -5?

a)

A

b)

B

c)

C

d)

D

18.

A student rode a bike from school to a recreation center. The graph shows the student’s distance in miles from the recreation center after riding the bike for x minutes. What is the range of the function for this situation?

a)

All real numbers greater than or equal to 0 and less than or equal to 28

b)

All real numbers greater than or equal to 0 and less than or equal to 9

c)

All real numbers less than or equal to 28

d)

All real numbers less than or equal to 9

19.

A graph of f(x)=6x211x+3f\left(x\right)=6x^2-11x+3  is shown on the grid. What are the zeros of f ?

a)

3

b)

2 and 9

c)

1112\frac{11}{12}  

d)

13 and 32\frac{1}{3}\ and\ \frac{3}{2}  

20.

Which equation in standard form has a graph that passes through the point ( 4, -2) and has a slope of 92\frac{9}{2}  ?

a)

9x - 2y = 36

b)

9x - 2y = 26

c)

9x - 2y = -40

d)

9x - 2y = -10