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STAAR Review (Desmos & Calculator))

Total questions: 17

Worksheet time: 51mins

Name
Class
Date
1.

    The function f(x) = x was transformed to form g(x) = f(x) + 27. Which statement is true about the graphs of f and g?

a)

   The graphs of f and g are not parallel, and the graph of f is translated 27 units up to create the graph of g.

b)

The graphs of f and g are not parallel, and the graph of f is translated 27 units down to create the graph of g

c)

The graphs of f and g are parallel, and the graph of f is translated 27 units up to create the graph of g

d)

The graphs of f and g are parallel, and the graph of f is translated 27 units down to create the graph of g

2.

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.

3.

1)      For quadratic function f, the solutions to the equation f(x) = 0 are the solutions  x = -8 and x = -4  ? Which function could f represent?

a)

x^2-12x+32

b)

x^2+12x+32

c)

x^2+12x-32

4.

What are the factors of x2+9x+18x^2+9x+18

5.

What are the factors of 3x2−7x−63x^2-7x-6

a)

(x+2)(x-3)

b)

(4x+2)(x-3)

c)

(3x+2)(x-5)

d)

(3x+2)(x-3)

6.

What are the factors of 4x2+22x+244x^2+22x+24

7.

Which expression is equivalent to (2x−3)(2x2+x−4)\left(2x-3\right)\left(2x^2+x-4\right)

8.

Which expression is equivalent to (x−2)(x2+3x−5)\left(x-2\right)\left(x^2+3x-5\right)

9.

What is the solution to 4(c+56.5)=30c−1124\left(c+56.5\right)=30c-112 ?

10.

What is the solution to 4(y−3)+19=8(2y+3)+74\left(y-3\right)+19=8\left(2y+3\right)+7

11.

A system of linear equations is shown below, what is the x-value in the solution?

x−5y=2x-5y=2 3x−8y=−13x-8y=-1

12.

Ming and Carlos are selling cookie dough for a school fundraiser. Ming sold 8 packages of chocolate chip cookie dough and 12 packages of gingerbread cookie dough for a total of $364. Carlos sold 1 package of chocolate chip cookie dough and 4 packages of gingerbread cookie dough for a total of $93.

How much is a chocolate chip cookie dough?

13.

What is the positive solution to this equation?

4x2+12x=1354x^2+12x=135

14.

What are the solutions to (x-5)(x+6)=0

a)

x= {5,6}

b)

x= {5,-6}

c)

x= {-5,-6}

15.

What is the positive solution to x2−20=8xx^2-20=8x

16.

Given the function f(x)=2x2−x−5f\left(x\right)=2x^2-x-5 , what is f(-4)?

17.

Given p(x)=−4(x−15)2+2p\left(x\right)=-4\left(x-15\right)^2+2 what is the value of p(7)?