Quiz about Algebra 1 STAAR Review

Question 1

What is the solution to the system of equations represented by these tables?

Accepted Answer

$$\left(10,\ 2\right)$$

Answer

$$\left(-2,\ 4\right)$$

Answer

$$\left(-6,\ 10\right)$$

Answer

$$\left(-2,\ -4\right)$$

Question 2

The first five terms in a pattern are shown below.

$$-0.5,\ -0.25,\ 0,\ 0.25,\ 0.5,\ ...$$

If the pattern continues, which expression can be used to find the nth term?

Accepted Answer

$$0.25n-0.75$$

Answer

$$0.75n-1.25$$

Answer

$$-0.25n-0.25$$

Answer

$$-0.5n+0.25$$

Question 3

The function $$f\left(x\right)=x$$ was transformed to form $$g\left(x\right)=f\left(x\right)-23$$ .

Which statement is true about the graphs of f and g?

Accepted Answer

The graphs of f and g are parallel, and the graph of f is translated 23 units down to create the graph of g.

Answer

The graphs of f and g are not parallel, and the graph of f is translated 23 units up to create the graph of g.

Answer

The graphs of f and g are not parallel, and the graph of f is translated 23 units down to create the graph of g.

Answer

The graphs of f and g are parallel, and the graph of f is translated 23 units up to create the graph of g.

Question 4

For quadratic function f, the solutions to the equation $$f\left(x\right)=0$$ are $$x=\frac{7}{5}$$ and $$x=-\frac{2}{3}$$ .

Which function could represent f ?

Accepted Answer

$$f\left(x\right)=15x^2-11x-14$$

Answer

$$f\left(x\right)=14x^2+11x-15$$

Answer

$$f\left(x\right)=14x^2-11x-15$$

Answer

$$f\left(x\right)=15x^2+11x-14$$

Question 5

A fish tank is being drained at a constant rate. The graph shows the linear relationship between the volume of water in the fish tank in liters and the time in minutes the tank has been draining.

Which value best represents the rate of change of the volume of water in the fish tank with respect to time?

Accepted Answer

-6 L/min

Answer

6 L/min

Answer

$$-\frac{1}{6}\ $$ L/min

Answer

$$\frac{1}{6}$$ L/min

Question 6

What are the factors of $$2x^2+x-15$$ ?

SELECT TWO ANSWERS.

Accepted Answer

$$x+3$$

Accepted Answer

$$2x-5$$

Answer

$$2x-3$$

Answer

$$x+5$$

Answer

$$x-3$$

Question 7

Which function best represents the relationship shown in the graph?

Accepted Answer

$$y=\frac{1}{2}x+2$$

Answer

$$y=2x-4$$

Answer

$$y=2x+2$$

Answer

$$y=\frac{1}{2}x-4$$

Question 8

New houses are being built in a neighborhood. The table shows the exponential change in the number of houses in the neighborhood over the last 6 years.

Which exponential function best models the data?

Accepted Answer

$$f\left(x\right)=18.9\left(1.4\right)^x$$

Answer

$$f\left(x\right)=1.4\left(18.9\right)^x$$

Answer

$$f\left(x\right)=27\left(1.3\right)^x$$

Answer

$$f\left(x\right)=1.3\left(27\right)^x$$

Question 9

What is the solution to $$10-3\left(m-5\right)=2\left(5-m\right)$$ ?

Accepted Answer

15

Answer

-15

Answer

-7

Answer

3

Question 10

Which value represents the rate of change of y with respect to x for this function?

$$\frac{2}{5}x-\frac{4}{7}y=\frac{3}{2}$$

Accepted Answer

$$\frac{7}{10}$$

Answer

$$-\frac{21}{8}$$

Answer

$$\frac{8}{35}$$

Answer

$$-\frac{6}{7}$$

Question 11

The graph of $$3x-y=1$$ is shown on the grid.

Which points are in the solution set of $$3x-y\ge1$$ ?

SELECT THREE ANSWERS.

Accepted Answer

B

Accepted Answer

D

Accepted Answer

E

Answer

A

Answer

C

Question 12

Which expression is equivalent to $$\frac{x^{-6}y^4}{x^3y}$$

Accepted Answer

$$\frac{y^3}{x^9}$$

Answer

$$\frac{y^4}{x^9}$$

Answer

$$\frac{y^5}{x^3}$$

Answer

$$\frac{y^4}{x^2}$$

Question 13

Which graph best represents the solution set of $$3x<2y+6$$ ?

Accepted Answer

Question 14

Quadratic function f has vertex $$\left(4,\ 15\right)$$ and passes through the point $$\left(1,\ 20\right)$$ . Which equation represents f ?

Accepted Answer

$$f\left(x\right)=\frac{5}{9}\left(x-4\right)^2+15$$

Answer

$$f\left(x\right)=-\frac{5}{9}\left(x-4\right)^2+15$$

Answer

$$f\left(x\right)=-\frac{35}{9}\left(x-4\right)^2-15$$

Answer

$$f\left(x\right)=\frac{35}{9}\left(x-4\right)^2-15$$

Question 15

A part of quadratic function f is graphed on the grid.

What is the domain of the part of the function shown?

Accepted Answer

All real numbers greater than or equal to -1

Answer

All real numbers greater than or equal to 1

Answer

All real numbers

Answer

All real numbers greater than or equal to -1 and less than or equal to 5

Question 16

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

Which statement is best supported by the graph?

Accepted Answer

The equation of the axis of symmetry of the graph is $$x=-3$$ .

Answer

The function has a zero at 6.

Answer

The minimum value of the function is 9.

Answer

The vertex of the graph is $$\left(9,\ -3\right)$$ .

Question 17

Dance lessons are offered at two studios. The cost of dance lessons at each studio is shown.

* Studio Q charges a $30 registration fee plus $80 per month.
* Studio R charges a $105 registration fee plus $65 per month.
After how many months will the total cost of the dance lessons be equal at the two studios?

Accepted Answer

5

Answer

280

Answer

9

Answer

430

Question 18

Which expression is a factor of $$16m^2-81$$ ?

Accepted Answer

$$4m+9$$

Answer

$$2m-9$$

Answer

$$16m+9$$

Answer

$$8m-9$$

Question 19

What is the slope of the line that passes through the points $$\left(10,\ 18\right)$$ and $$\left(-5,\ -12\right)$$

Accepted Answer

$$2$$

Answer

$$\frac{1}{2}$$

Answer

$$-2$$

Answer

$$-\frac{1}{2}$$

Question 20

What equation in slope-intercept form describes the line that passes through the point $$\left(-1,\ -13\right)$$ and has a slope of $$5$$ ?

Accepted Answer

$$y=5x-8$$

Answer

$$y=-5x+12$$

Answer

$$y=5x-15$$

Answer

$$y=-12x+26$$

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