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EOC practice part 3

Total questions: 14

Worksheet time: 7mins

Name
Class
Date
1.

Which expression is equivalent to  24x2−22x+524x^2-22x+5  

a)

(12x + 5)(2x + 1)

b)

(8x - 5)(3x - 1)

c)

(12x - 5)(2x - 1)

d)

(8x + 5)(3x + 1)

2.

A system of equations is graphed on the grid.


Which system of equations does the graph represent?

a)

y = -x - 4

y = 2x - 2

b)

y = -x + 4

y = 2x - 4

c)

y = x - 4

y = -2x - 2

d)

y = x + 4

y = -2x - 4

3.

The table represents some points on the graph of an exponential function.


What function represents the same relationship?

a)

f(x)=15(56)xf\left(x\right)=15\left(\frac{5}{6}\right)^x

b)

f(x)=18(65)xf\left(x\right)=18\left(\frac{6}{5}\right)^x

c)

f(x)=15(65)xf\left(x\right)=15\left(\frac{6}{5}\right)^x

d)

f(x)=18(56)xf\left(x\right)=18\left(\frac{5}{6}\right)^x

4.

The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.


Based on the table, which function models this situation?

a)

f(n)=−3n+24f\left(n\right)=-3n+24

b)

f(n)=−13n+16f\left(n\right)=-\frac{1}{3}n+16

c)

f(n)=−3n+64f\left(n\right)=-3n+64

d)

f(n)=−13n+8f\left(n\right)=-\frac{1}{3}n+8

5.

The graph of  f(x)=x2f\left(x\right)=x^2  was transformed to create the graph of  g(x)=f(x)−9g\left(x\right)=f\left(x\right)-9  .  Which statement about the graphs is true?

a)

The graph of g is a reflection of the graph of f across the x-axis.

b)

The vertex of the graph of g is 9 units to the right of the vertex of the graph of f.

c)

The graph of g is a reflection of the graph of f across the y-axis.

d)

The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

6.

The expression (x22)(x7)3\left(x^{22}\right)\left(x^7\right)^3  is equivalent to  xpx^p  .  What is the value of p?

(a)  

7.

The graph of linear function k passes through the points (-7,0) and (1,8).


Which statement must be true?

a)

The slope of the graph of k is −43-\frac{4}{3}

b)

The graph of k passes through the point (-1,-8).

c)

The zero of k is 7.

d)

The x-intercept of the graph of k is -7.

8.

Which expression is equivalent to 210d2−63d210d^2-63d ?

a)

21d(10d - 3)

b)

21d(10d + 3)

c)

21(10d + 3)

d)

21(10d - 3)

9.

What is the value of x in the solution to this system of equations?

a)

-6.5

b)

0.5

c)

6.5

d)

-0.5

10.

Which graph best represents y=10(0.85)xy=10\left(0.85\right)^x ? 

a)
b)
c)
d)
11.

The table shows a linear relationship between x and y.


What is the rate of change of y with respect to x?

a)

−92-\frac{9}{2}

b)

29\frac{2}{9}

c)

−29-\frac{2}{9}

d)

92\frac{9}{2}

12.

Which value of x is a solution to this equation? 5x2−36x+36=05x^2-36x+36=0  

a)

x = -6

b)

x = 4

c)

x = -1.8

d)

x = 1.2

13.

A part of an exponential function is graphed on the grid.


Which inequality best represents the domain of the part shown?

a)

x≥−2x\ge-2

b)

y≥4.5y\ge4.5

c)

x≥4.5x\ge4.5

d)

y≥−2y\ge-2

14.

What is the solution to -(6m + 8) = 4(17 - m)?

(a)