Quiz about ALGEBRA 1 STAAR NEW ONLINE PRACTICE TEST PART A

Question 1

The function $$f\left(x\right)=x$$ was transformed to form $$g\left(x\right)=f\left(x\right)+7$$ .

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 7 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 7 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 7 units down to create the graph of g.

Answer

The graphs of f and g are parallel, and the graph of f is translated 7 units down to create the graph of g.

Question 2

An artist bought a set of 12 paintbrushes that contained $$x$$ small paintbrushes and $$y$$ large paintbrushes. The number of small paintbrushes in the set was 5 times the number of large paintbrushes in the set.

Which system of equations can be used to find the numbers of small paintbrushes and large paintbrushes in the set?

Accepted Answer

$$x+y=12$$

$$x=5y$$

Answer

$$x-y=12$$

$$x=5y$$

Answer

$$x+y=12$$

$$y=5x$$

Answer

$$x-y=12$$

$$y=5x$$

Question 3

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

Which function could represent $$f$$ ?

Accepted Answer

$$f(x)=14x^2+11x−15$$

Answer

$$f(x)=15x^2−11x−14$$

Answer

$$f(x)=15x^2+11x−14$$

Answer

$$f(x)=14x^2−11x−15$$

Question 4

Which expression is equivalent to:

$$\sqrt[]{72}$$

Accepted Answer

$$6\sqrt[]{2}$$

Answer

$$3\sqrt[]{24}$$

Answer

$$36\sqrt[]{2}$$

Answer

$$2\sqrt[]{6}$$

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 is the solution set for

$$12+4w>2\left(w-12\right)$$ ?

Accepted Answer

$$w>-18$$

Answer

$$w>18$$

Answer

$$w>-6$$

Answer

$$w<-6$$

Question 7

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

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

Accepted Answer

$$x\ge-1$$

Answer

$$y\ge1$$

Answer

All real numbers

Answer

$$-1\le x\le2$$

Question 8

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

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

Accepted Answer

$$y\ge1$$

Answer

$$x\ge-1$$

Answer

All real numbers

Answer

$$-1\le x\le2$$

Question 9

Which statement about $$f\left(x\right)=12x^2-27$$ is true?

Accepted Answer

The zeros are $$\pm\frac{3}{2}$$ because $$f\left(x\right)=3\left(2x+3\right)\left(2x-3\right)$$

Answer

The zeros are $$\pm\frac{2}{3}$$ because $$f\left(x\right)=3\left(2x+3\right)\left(2x-3\right)$$

Answer

The only zero is $$\frac{3}{2}$$ because $$f\left(x\right)=3\left(2x-3\right)^2$$

Answer

The only zero is $$\frac{2}{3}$$ because $$f\left(x\right)=3\left(2x-3\right)^2$$

Question 10

Which expression is equivalent to $$\left(z+5\right)\left(z^2-2z+4\right)$$ ?

Accepted Answer

$$z^3+3z^2-6z+20$$

Answer

$$z^3+7z^2+6z+20$$

Answer

$$z^3+3z^2+6z+20$$

Answer

$$z^3-3z^2-6z+20$$

Question 11

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

Which statement is best supported by the graph?

Accepted Answer

The vertex is located at $$\left(-3,9\right)$$

Answer

It has a solution at $$\left(6,\ 0\right)$$

Answer

It has a y-intercept at $$\left(-6,\ 0\right)$$

Answer

The axis of symmetry is $$y=-3$$

Question 12

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

$$f(x)=18.9(1.4)^x$$

Answer

$$f(x)=1.4(18.9)^x$$

Answer

$$f(x)=27(1.3)^x$$

Answer

$$f(x)=1.3(27)^x$$

Question 13

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

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

Accepted Answer

$$\frac{5}{6}$$

Answer

$$\frac{8}{15}$$

Answer

$$-\frac{6}{5}$$

Answer

$$-\frac{15}{8}$$

Question 14

A system of linear equations is shown.

$$2x-3y=-8$$

$$-x-4y=-18$$

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

Accepted Answer

$$2$$

Answer

$$-2$$

Answer

$$4$$

Answer

$$-4$$

Question 15

A shipping company started with 100 employees. The number of employees at the shipping company increases at a rate of 7.5% each year.

Which function can be used to model the number of employees, f(x), at the shipping company after x years?

Accepted Answer

$$f(x)=100(1.075)^x$$

Answer

$$f(x)=108(1.075)^x$$

Answer

$$f(x)=100(.075)^x$$

Answer

$$f(x)=108(.075)^x$$

Question 16

A sequence can be generated by using the equation shown, where $$a_1=8$$ and $$n$$ is a whole number greater than 1.

$$a_n=-2+a_{\left(n-1\right)}$$

What are the first four terms in the sequence?

Accepted Answer

$$8,\ \ 6,\ \ 4,\ \ 2$$

Answer

$$-2,-4\ ,-6\ ,-8$$

Answer

$$-2,\ \ 6,\ 14,\ 22$$

Answer

$$8,\ 10,\ 12,\ 14$$

ALGEBRA 1 STAAR NEW ONLINE PRACTICE TEST PART A

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