Unit 1 Test - Equations & Inequalities - Review

• $-\frac{3}{2}$

• $-\frac{1}{6}$

• $\frac{1}{6}$

• $\frac{3}{2}$

Remember - Perimeter means add up all the sides!

• 7

• 14

• 21

• 22

• 29

Consider the linear inequality 2x + 4 < -x + 2.

Which number line shows the graph of the solution to the inequality?

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Hannah has a total of 500 beads and uses them to make necklaces and bracelets. She uses 25 beads per necklace and 18 beads per bracelet.

If Hannah makes 20 bracelets, what is the maximum number of necklaces she can make?

• 5 necklaces

• 6 necklaces

• 25 necklaces

• 140 necklaces

What is the value of the smallest integer in the solution set for $3\le\ 2x\ -\ 3\ <\ 15?$  

• 0

• 2

• 3

• 6

Nathaniel is solving the inequality above. If he solves the inequality correctly, what is his solution?

• infinitely many solutions

• $b\ge6$

• $b\le-4$

• no solution

• Addition Property, combining like terms, Division Property, Subtraction Property

• Division Property, Addition Property, combine like terms, Distributive Property

• Distributive Property, combine like terms, Addition Property, Division Property

• Subtraction Property, combine like terms, Division Property, Subtraction Property

Solve for h.
 $f=8g\ +\ 4h$  

•  $h=2g+\frac{f}{4}$  

•  $h=2g\ -\ \frac{f}{4}$  

•  $h=-2g+\frac{f}{4}$  

•  $h=-2g-\frac{f}{4}$  

Gabe is solving the equation $3\left(x-2\right)+4=2x-1.$ 

His steps are shown above.

What is most likely Gabe's next step in correctly solving the equation?

• Add 2x to both sides of the equation, resulting in 5x - 2 = -1

• Subtract 2x from both sides of the equation, resulting in x - 2 = -1

• Add 2 to both sides of the equation, resulting in 3x = 2x - 1

• Subtract 2 from both sides of the equation, resulting in 3x = 2x - 3

Lorena is buying school supplies. She buys 4 notebooks for $2.50 each, 10 pencils for $0.75 each, and 5 pens of equal price. If Lorena spends $23.75, how much does each pen cost? (HINT: "of equal price" means they all cost the same amount)

• $1.25

• $0.75

• $8.25

• $6.25