Unit 1 Algebra 1

6x - 4(2x - 10) = 40 - 2x

Which statement about the type of solution is true?

• No real value of x will make the equation true.

• Only one real value of x will make the equation true.

• An infinite number of x values will make the equation true.

• None of the above

3(x + 6) = 2x + 8

What is the value of x that makes the equation true?

• 8

• -1

• 5

• -10

The graphs of y1 = 0.2(25x – 40) and y2 = 4(0.5x + 1.75) are shown on the coordinate grid.

What is the value of x that makes the equation 0.2(25x – 40) = 4(0.5x + 1.75) true?

• -3.5

• 5

• 17

• 2.5

-5(3x + 2) = -15x + 5

Which statement about the linear equation is true?

• The equation has exactly one solution at a = 0.

• The equation has an infinite number of solutions.

• The equation has exactly one solution at a = 1.

• The equation has no solutions.

5x - 12  $\ge$  2x + 6
Which inequality and number line represents the solution for the given inequality?

• 
• 
• 
• 

An inequality is shown below.

3(2x – 1) < 2(4 + 3x) Which inequality represents the solution set?

• 
• $\infty$

• 
• 

What is the solution to the inequality 13 - 4x  $\le$  -2(2 + 2x)

• x  $\ge$  -3

•  $\phi$  

• x $\le$  4

• x $>$  3

What is the solution to the inequality 2(4x + 1)  $<$  2(3x - 4)?

• x $<$  -2

• x $\ge$  3

• x $>$  4

• x $<$  -5

Rectangle ABCD has a length represented by the expression 3x - 2 and a width represented

by the expression 4x + 3. Rectangle JKLM has a length represented by the expression x - 6

and a width represented by the expression 2x = 10. Which expression can be used to

represent the sum of the perimeters of Rectangle ABCD and Rectangle JKLM?

• 20x + 18

• 20x + 10

• 18x -7

• 16x - 6

Which equation is equivalent to 5x - 2y = 14

• y = $\frac{-5}{2}$ x - 1

• y = $\frac{-2}{5}$ x + 7

• y = $\frac{2}{5}$ x 14

• y = $\frac{5}{2}$ x - 7