ALGEBRA STAAR REVIEW

ALGEBRA STAAR REVIEW

Multiple Select

** MULTI-STEP EQUATIONS **

What value of x makes the equation 

           -6x - (3 + 2x) = -4 (x + 1)  true?

• No Solution

•  $x\ =\ -\frac{1}{4}$  

•  $x\ =\ \frac{1}{4}$  

•  $x=4$  

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** MULTI-STEP EQUATIONS **

Solve for b

2b + 5 - 12b = -3 + 4b +8 - 14b

• -1.5

• No solution

• 0

• All Real Numbers

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** QUADRATIC KEY FEATURES **

A graph of the following equation is shown on the graph.  

 $f\left(x\right)=4x^2+28x+45$  

What are the zeros of f ?

• -4

•  $-\frac{2}{5}$  

•  $-\frac{9}{2}$  and  $-\frac{5}{2}$  

• -5 and 2

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** QUADRATIC KEY FEATURES **

Which equation best represents the axis of symmetry?

• y = -2

• y = 5

• x = -2

• x = 5

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** QUADRATIC KEY FEATURES **

A graph of a quadratic function is shown on the grid.

What is the vertex?

• (2, 0)

• (0, 2)

• (-1, 1)

• (2, 1)

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** QUADRATIC KEY FEATURES **

What is the vertex of the graph of the quadratic function 


  
 $f\left(x\right)=x^2+4x+8$  

• (2, 4)

• (2, -4)

• (-2, -4)

• (-2, 4)

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** QUADRATIC KEY FEATURES **

Give the minimum or maximum value of the function.

• The minimum is 2

• The maximum is -6

• The minimum is -6

• The maximum is 2

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** QUADRATIC KEY FEATURES **

Which graph best represents a quadratic function that has no zeroes?

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** QUADRATIC FACTORING **

Multiply

(n - 3)(n + 4)

• $n^2+n-12$

• $n^2+7n+12$

• $n^2-3n-12$

• $n^2-3n+4$

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** QUADRATIC FACTORING **

Factor the trinomial

 $p^2+p-42$ 

 

•  $\left(p+1\right)\left(p-4\right)$  

•  $\left(p-1\right)\left(p-42\right)$  

•  $\left(p-7\right)\left(p-6\right)$  

•  $\left(p-6\right)\left(p+7\right)$  

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**  QUADRATIC  FACTORING **

Which expression is equivalent to the following polynomial

 $f\left(x\right)=x^2+10x+25$  

•  $\left(x+15\right)^2$  

•  $\left(x\ -\ 5\right)^2$  

•  $\left(x\ +\ 10\right)^2$  

•  $\left(x\ +\ 5\right)^2$  

Fill in the Blank

** QUADRATIC FACTORING **

What is the positive solution to the equation

 $0=\frac{1}{3}x^2$  

Multiple Select

** QUADRATIC FACTORING **

Which expression is equivalent to?

 $6x^2+7x-3$  

•  $\left(2x+3\right)\left(3x-2\right)$  

•  $\left(2x+3\right)\left(3x-1\right)$  

•  $\left(3x+2\right)\left(2x+1\right)$  

•  $\left(2x-3\right)\left(3x+1\right)$  

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** QUADRATIC FACTORING **

Which statement is true about

 $f\left(x\right)=5x^2+4x-1$  

• The zeroes are  $\frac{1}{5}$  and -1  because   $f\left(x\right)=\left(x+1\right)\left(5x-1\right)$  

• The zeroes are  $-\frac{1}{5}$  and 1  because   $f\left(x\right)=\left(x-1\right)\left(5x+1\right)$ 

• The zeroes are 0 and -1  because   $f\left(x\right)=\left(x+1\right)\left(5x+1\right)$ 

• The zeroes are  $-\frac{2}{5}$  and   $1\frac{2}{5}$  because   $f\left(x\right)=\left(5x-2\right)\left(5x+1\right)$ 
  

Multiple Select

** QUADRATIC FACTORING **

Given the graph for a quadratic equation, find its linear factors.

• $\left(x-1\right)\left(x+6\right)$

• $\left(x-1\right)\left(x-6\right)$

• $\left(x+1\right)\left(x-6\right)$

• $\left(x+6\right)\left(x+12\right)$

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** QUADRATIC FACTORING **

Write the quadratic function associate with this graph.

• $f\left(x\right)=x^2+6x+1$

• $f\left(x\right)=x^2+7x+6$

• $f\left(x\right)=x^2-6x-1$

• $f\left(x\right)=x^2+6x+7$

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** LINEAR GRAPHING **

The table represents some points on the graph of a linear function.

Which equation represents the same relationship?

•  $y+7=\frac{1}{15}\left(x+4\right)$  

•  $y+7=15\left(x+4\right)$  

•  $y+4=15\left(x+7\right)$  

•  $y+4=\frac{1}{15}\left(x+7\right)$  

Multiple Select

** LINEAR GRAPHING **

Which set of ordered pairs contains only points that are on the graph of the function


 $y=10-6x$  

•  $\left(-5,\ 40\right)\left(-1,\ 16\right)\left(8,\ -10\right)$  

•  $\left(-12,\ 83\right)\left(-6,\ 46\right)\left(18,\ -20\right)$  

•  $\left(-4,\ 28\right)\left(2,\ -2\right)\left(6,\ -18\right)$  

•  $\left(-2,\ 22\right)\left(0,\ 10\right)\left(5,\ -20\right)$  

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** LINEAR GRAPHING **

Which graph represents  

 $5x+3y=15$  

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** LINEAR GRAPHING **

Which equation is best represented by this graph? 

•  $y-3=\frac{1}{4}\left(x-1\right)$  

•  $y+3=4\left(x+1\right)$  

•  $y+5=\frac{1}{4}\left(x+1\right)$  

•  $y+3=-4\left(x-1\right)$  

Multiple Select

** LINEAR GRAPHING **

Which equation is best represented by this graph? 

•  $2x-5y+12=0$  

•  $-2x+5y+12=0$  

•  $-2x-5y-12=0$  

•  $2x+5y-15=0$  

Multiple Select

** LINEAR GRAPHING **

Which ordered pair best represents the location of the y-intercept given the graph of a function?

• (3, 0)

• (0, -6)

• (0, 3)

• (-6, 0)

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** LINEAR GRAPHING **

Which line appears to have an x-intercept of -3 and a y-intercept of 5? 

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** LINEAR GRAPHING **

Graph the following equation

 $y\ =\ -3$  

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** LINEAR GRAPHING **

Graph the following equation

 $x=\ 2$  

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** SLOPE INTERCEPT FORM **

What is the slope and y-intercept of the given equation?

 $y\ =\ -9x\ -10$  

• The slope is 10 and the y-intercept is -9

• The slope is 9 and the y-intercept is 10

• The slope is -10 and the y-intercept is -9

• The slope is -9 and the y-intercept is -10

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** SLOPE INTERCEPT FORM **

Write the slope-intercept form of the equation for the line.

•  $y=3x-1$  

•  $y=3x+1$  
  

•  $y=\frac{1}{3}x-1$  
  

•  $y=-\frac{1}{3}x-1$  
  

Multiple Select

** SLOPE INTERCEPT FORM **

The graph of an equation in the form y = mx + b is shown on the grid.

Based on the graph, what is the value of x when y = 0?

• 3

• 2

• -3

• -6

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** SLOPE INTERCEPT FORM **

The table represents some points on the graph of a linear function.  What is the rate of change of y with respect to x for this function?

 (HINT: Use the whole numbers to make it easier)

• -2

•  $\frac{1}{2}$  
  

• 2

•  $-\frac{1}{2}$  
  

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** SLOPE INTERCEPT FORM **

The table represents some points on the graph of a linear function.  What is the rate of change of y with respect to x for this function?

• 0

•  $\frac{1}{5}$  
  

• 10

• Undefined

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** SLOPE INTERCEPT FORM **

Find the slope of the line

•  $-\frac{1}{2}$  
  

•  $\frac{1}{2}$  
  

• 2

• -2

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** SLOPE INTERCEPT FORM **

What is the slope of the line that passes through the points (-3, 6) and (2, 1)?

•  $-\frac{5}{4}$  
  

• 1

• -1

• -5

Multiple Select

** SYSTEM OF EQUATIONS **

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

 $6x+3y=13$  
 $3x-y=4$  

• 1

•  $\frac{7}{3}$  

•  $\frac{8}{3}$  

•  $\frac{5}{3}$  

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** SYSTEM OF EQUATIONS **

Which graph best represents a system of equations that has no solution?

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** SYSTEM OF EQUATIONS **

A college student needs 11 classes that are worth a total of 40 credits in order to complete her degree. The college offers both 4-credit classes and 3-credit classes. Which system of equations can be used to determine f, the number of 4-credit classes the student can take to complete her degree, and h, the number of 3-credit classes?

•  $f+h=11$ 
   $4f+3h=40$   

•  $f+h=40$  
   $4f+3h=11$  
  

•  $f+h=40$  
   $4h+3f=11$  
  

•  $f+h=11$  
   $4h+3f=40$  
  

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** SYSTEM OF EQUATIONS **

Which graph can be used to find the solution to the system of equations below?

 $2x+y=-4$  
 $-3y=2x+12$  

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** DOMAIN and RANGE **

Which graph represents a function with a domain of all real numbers

greater than or equal to -7 and less than 2?

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** DOMAIN and RANGE **

Function f is graphed. What is the range of f?

• $\ 3<y\le3$

• $-2<x\le4$

• $-3\le y<3$

• $-2\le x<4$

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** DOMAIN and RANGE **

What is the domain of the function graphed?

•  $\ 3\le y\le4$ 

•  $x=-2,\ 2,\ 4$ 

•  $-2\le x\le4$ 

•  $y=-3,\ 0,\ 4$ 

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** EXPONENTIAL FUNCTIONS **

The amount of fertilizer in a landscaping company’s warehouse decreases at a rate of 3% per week. The amount of fertilizer in the warehouse was originally 78,000 cubic yards.

Which function models the amount of fertilizer in cubic yards left after w weeks?

• $f\left(w\right)=0.97\cdot\left(78,000\right)^w$

• $f\left(w\right)=1.03\cdot\left(78,000\right)^w$

• $f\left(w\right)=78,000\left(0.97\right)^w$

• $f\left(w\right)=78,000\cdot\left(1.03\right)^w$

Multiple Select

** EXPONENTIAL FUNCTIONS **

A student used   $f\left(x\right)=5.00\cdot\left(1.012\right)^x$  to show how the balance in a savings account will increase over time.  What does the 5.00 represent?

• The interest the savings account earned for the first year.

• The annual interest rate of the savings account.

• The number of years the savings account has earned interest.

• The starting balance of the savings account.

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** EXPONENTIAL FUNCTIONS **

The table shows the population, (p), of mice in a field at the end of  (m) months.

Based on the data in the table, what will be the population of mice in the field at the end of 5 months?

• 480

• 192

• 108

• 102

Multiple Select

** EXPONENTIAL FUNCTIONS **

A toy is made up of cylindrical rings stacked on a base, as shown in the diagram. The diameter of Ring 1 is 87% of the diameter of the base. For Ring 2 through Ring 7, the diameter of each ring is 87% of the diameter of the ring directly below it.   The diameter of the base is 5 inches. Which function can be used to find the diameter in inches of Ring r, where   $1\le r\le7$  ?

•  $d\left(r\right)=5\left(0.87\right)^r$  
  

•  $d\left(r\right)=0.87\left(r-5\right)$  
  

•  $d\left(r\right)=0.87\left(5\right)^r$  
  

•  $d\left(r\right)=5\left(r-0.87\right)$