Unit 3 Quiz Review - Linear Equations and Inequalities

Which input value produces the same output value for the two functions on the graph?

• x = 2

• x = 5

• y = 2

• y = 5

Fiona solved the equation shown.

 $\frac{1}{2}-\frac{1}{3}\left(6x-3\right)=\ -\frac{13}{2}$  
What is the missing step of her solution?

• Simplify by combining like terms.

• Simplify by using addition property of equality.

• Simplify by using multiplication property of equality.
  

• Simplify by using division property of equality.
  

Solve the equation.

–9x + 1 = –x + 17

• x = -8

• x = -2

• x = 2

• x = 8

 $\frac{2}{3}x-\frac{1}{2}=\frac{1}{3}+\frac{5}{6}x$  

What is the solution to the linear equation?

• x = -5

• x =  $-\frac{1}{6}$  

• x =  $\frac{1}{6}$  

• x = 5

Which equation has no solution?

• 4(x + 3) + 2x = 6(x + 2)

• 5 + 2(3 + 2x) = x + 3(x + 1)

• 5(x + 3) + x = 4(x + 3) + 3

• 4 + 6(2 + x) = 2(3x + 8)

What is the value of x in the equation? $\frac{1}{2}\left(4x+12\right)\ =\ 2-\left(x-1\right)$  

• x = 3

• x = -3

• x = 1

• x = -1

The equation 0.2x - 6.25 = 1 can be simplified to include only integers if the entire equation is multiplied by which number?

• 0.1

• 0.01

• 10

• 100

The formula to convert °F to °C is C = $\frac{5}{9}$ (F – 32).

Convert 80°C to °F.

• 176°F

• 101°F

• 16°F

• 26°F

The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a, over time, t.

Which is an equivalent equation solved for t?

• 
  

  $t=\frac{f-v}{a}$
  

• $t=\frac{f-a}{v}$

• $t=a\left(t-v\right)$

• $t=v\left(f-a\right)$

Solve for k.

8k + 2m = 3m + k

• k = 70m

• k = 7m

• k = $\frac{7}{m}$

• k = $\frac{m}{7}$