* Math LATEX QA - Algebra

If $x \neq 0$ and $y \neq 0$ , which of the following is equivalent to $\frac{6}{3x}-\frac{7}{4y}$ ?

$\frac{8y\enspace-\enspace7x}{4xy}$
$\frac{6y\enspace-\enspace7x}{4xy}$
$-\frac{1}{4xy}$
$-\frac{1}{3x \enspace-\enspace 4y}$

Solve for x.

$\frac{7x \enspace+\enspace 4}{2}$ $= 3x + 10$

$16$
$\frac{3}{2}$
$6$
$0$

Toni went flower shopping for Mother’s Day and picked out a bouquet of tulips and roses. The bouquet had a total of 16 flowers and cost $31.50. If the roses were worth $2.25 each and the tulips were worth $1.50 each, how many roses were in the bouquet?

10
12
6
16

If $8x + y = -3y - 4$ and $y = -3$ , what does $x$ equal?

1
-2
5
0

Alisha had $100 in her checking account when the year began. On November 1st, she had $2500 in the same account. What was the average rate of change per month?

240
250
400
100

Which linear equation has the greatest positive y-intercept?

$y = 6 - x$
$y = -10x + 5$
$y = 15x + 2$
$y = -6 - 7x$

Which equation represents the function on the following graph?

$y > -2x + 4$
$y \geq -2x + 4$
$y > 4x - 2$
$y = 4x - 2$

What is the slope of the line that passes through $(-7,9)$ and $(11,-3)$ ?

$-\frac{2}{3}$
$-\frac{3}{2}$
$\frac{2}{3}$
$0$

William works 38 hours a week and gets paid $8.75 per hour. He receives a raise, and after the raise gets paid $347.70 per week. By how much did his hourly wage increase?

$\$0.40$
$\$0.15$
$\$0.50$
$\$39.74$

Which algebraic expression corresponds to “3 less than the product of x and 5” ?

$5x - 3$
$3 - 5x$
$-3(5x)$
$3$ + $\frac{x}{5}$

Given that h is 10 less than 2r, what is r in terms of h?

$r$ = $\frac{h+10}{2}$
$r = 2(h+10)$
$r$ = $\frac{h}{2}$ + $10$
$r = 2h - 10$

A cab driver charges a minimum of $5 for every trip, then $0.75 per mile after that. If someone took a trip that cost him or her $16.25, how many miles did they travel?

15 miles
21.7 miles
17.2 miles
40 miles

At what coordinate point do the lines $y = -2x-1$ and $y$ = $\frac{1}{2}$ $x + 4$ intersect?

$(-2,3)$
$(0,3)$
$(-2,0)$
$(0,0)$

Which of the following equations does not represent a function?

$x = 3$
$y = x^{2} + 2$
$x + y = 5$
$y = x + 7$

Solve for x.
$(x+4)^{2} = 36$

$x = -10 , 2$
$x = 2$
$x = 6 , -6$
$x = 0$

What is the y – intercept of $-2x + 3y = 12$ ?

$(0,4)$
$(0,6)$
$(0,-6)$
$(6,0)$

Rewrite the following equation in slope intercept form.

$(y+2)$ = $\frac{5}{4}$ $(x -$ $\frac{8}{5})$

$y =$ $\frac{5}{4}$ $x - 4$
$y =$ $\frac{5}{4}$ $x - 2$
$y =$ $\frac{5}{4}$ $x$
$y = 2x -$ $\frac{8}{5}$

Solve the following systems of equations.

$2x - 4y = 4$

$8y = 4x - 8$

Infinitely many solutions
(-2, 0)
(0, -2)
Not enough information

If h(t) is the height in feet and t is the time in seconds, select the scenario that is best represented by the function $h(t) = -3t + 10$ .

Andy dropped a ball off a building 10 feet high, and it fell at a speed of 3 feet per second.
Andy shot a ball straight into the air off a building 10 feet high and it traveled upwards at 3 feet per second.
Andy threw a ball upwards off a building 7 feet high, it peaked at 10 feet high, then continued to fall at 3 feet per second.
Andy was 3 feet tall, threw a ball straight into the ground, and it traveled 10 feet into the dirt.

Which equation is perpendicular to the line $y = 4$ ?

$x = 0$
$y =$ – $\frac{1}{4}$
$x = 4y$
$y = 4$

Xavier decided to work a problem out on the board. Between which lines, if any, did he make a mistake?

Line 1 $-4x+7=6x-3$

Line 2 $-10x + 7 = 3$

Line 3 $-10x = -4$

Line 4 $x =$ $\frac{4}{10}$

Line 5 $x =$ $\frac{2}{5}$

Between Line 1 and Line 2
Between Line 3 and Line 4
Between Line 2 and Line 3
Between Line 4 and Line 5

Solve the following equation.

$\frac{2}{3}$ (x) + $\frac{7}{6}$ = – $\frac{11}{12}$

$-\frac{25}{8}$
$-\frac{9}{2}$
$-9$
$0$

What is the correct order of operations to use in the following expression?

$7x - (12\div 6)(4x) + 5x$

$\div , \times , -, +$
$\div , \times , +, -$
$\times , \div , +, -$
$-, +, \div ,\times$

Solve for x.

$(x+2)^2 = 36$

4, -8
4
6, -6
16

Which of the expressions is equivalent to the following expression?

$35x^2-35x+70x^3y$

$35x(-1+x+2x^2y)$
$35x^2(1-x+2xy)$
$35x(x+2xy)$
$35(2x^3y)$

What is the equation of a line that is parallel to $f(x)=$ $\frac{1}{2}x + \frac{3}{4}$ and passes through the point $(-6,1)$ ?

Assume

The BEST answer here is __________.

$f(x)=$ $\frac{1}{2}x + 4$
$f(x)=$ $\frac{3}{4}x + \frac{1}{2}$

Solve for x.

$\frac{7x \enspace+\enspace 4}{2}$ $= 3x + 10$

Assume

The BEST answer here is __________.

$16$
$0$

If $8x + y = -3y - 4$ and $y = -3$ , what does $x$ equal?

Assume

The BEST answer here is __________.

1
5
0

Alisha had $100 in her checking account when the year began. On November 1st, she had $2500 in the same account. What was the average rate of change per month?

Assume

The BEST answer here is __________.

240
400
100

What is the slope of the line that passes through $(-7,9)$ and $(11,-3)$ ?

Assume

The BEST answer here is __________.

$-\frac{2}{3}$
$-\frac{3}{2}$
$\frac{2}{3}$
$0$

William works 38 hours a week and gets paid $8.75 per hour. He receives a raise, and after the raise gets paid $347.70 per week. By how much did his hourly wage increase?

Assume

The BEST answer here is __________.

$\$0.40$
$\$0.15$
$\$0.50$
$\$39.74$

What is the equation of a line that is parallel to $f(x)=$ $\frac{1}{2}x + \frac{3}{4}$ and passes through the point $(-6,1)$ ?

$f(x)=$ $\frac{1}{2}x - 11$
$f(x)=$ $\frac{1}{2}x + 4$
$f(x)=$ $\frac{3}{4}x + \frac{1}{2}$
$f(x)=$ $\frac{1}{2}x + \frac{3}{4}$

Decide

The next best step is to __________,

Mark & Save; Image
Invest Time; NOW

Solve for x.

$\frac{7x \enspace+\enspace 4}{2}$ $= 3x + 10$

$\frac{3}{2}$
$6$
$0$
$16$

Decide

The next best step is to __________,

Mark & Save; Steps
Invest Time; NOW

If $8x + y = -3y - 4$ and $y = -3$ , what does $x$ equal?

-2
0
1
5

Decide

The next best step is to __________,

Mark & Save; Image
Mark & Save; Steps
Invest Time; NOW

Which equation represents the function on the following graph?

$y > -2x + 4$
$y = 4x - 2$
$y > 4x - 2$
$y \geq -2x + 4$

Decide

The next best step is to __________,

Mark & Save; Image
Mark & Save; Reading
Mark & Save; Steps
Invest Time; NOW

What is the slope of the line that passes through $(-7,9)$ and $(11,-3)$ ?

$0$
$\frac{2}{3}$
$-\frac{3}{2}$
$-\frac{2}{3}$

Decide

The next best step is to __________,

Mark & Save; Image
Mark & Save; Reading
Mark & Save; Steps
Invest Time; NOW

William works 38 hours a week and gets paid $8.75 per hour. He receives a raise, and after the raise gets paid $347.70 per week. By how much did his hourly wage increase?

$\$0.15$
$\$39.74$
$\$0.40$
$\$0.50$

Decide

The next best step is to __________,

Mark & Save; Image
Mark & Save; Reading
Mark & Save; Steps
Invest Time; NOW

Solve for x.

$\frac{7x \enspace+\enspace 4}{2}$ $= 3x + 10$

Eliminate