Solutions to Equations and Inequalities

Which inequality matches the graph?

• A

• B

• C

• D

Which of these problems can be solved using this open sentence: 32 + c = ?

• Charlee had 32 cupcakes. His sister gave him c new ones. How many cupcakes does Cage have now?

• Charlee is dividing his cupcakes into c groups. If he has 32 cupcakes, how many cupcakes will be in each group?

• Charlee has c times as make cupcakes as his sister. Cage has 32 cupcakes. How many does his sister have?

• Charlee has 32 cupcakes. He is going to give his sister c of them. How many cupcakes will Cage have left?

When you graph an inequality, use a closed circle with which symbols?

• ≤, ≥ 

• <, >

• ≤, <

• ≥, >

When graphing an inequality, use an open circle with which symbols?

• <, >

• ≤, ≥ 

• ≤, <

• ≥, >

A salesperson at an electronics store a monthly target of 30 tablets to sell and a fixed salary of $ 2,800 per month. She gets $60 more for every tablet above her target that she sells. If she wants to earn $240 apart from the fixed salary, which number line shows the minimum number of extra tablets she must sell?

• A

• B

• C

• D

Write an equation for the model above.

• x+3=−9

• 3x+1=9

• x−3=9

• 3x−1=9

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

Greg wrote in his math journal that 17 - x = 9 is an example of an algebraic equation. Which statement is true about the example Greg wrote in his math journal?

• Greg's example is an equation because there is a variable present.

• Greg's example is an equation because x can represent any value.

• Greg's example is an equation because it is a number sentence stating two amounts are equivalent.

• Greg's example is an equation because there are two numbers present.

Mrs. Murray bought animal crossing for $52.00. She found the same game at a different store for m dollars less. Which open sentence would help find the price of the game at the other store?

• $52.00 ÷ m = ?

• m x $52.00 = ?

• m - $52.00 = ?

• $52.00 - m = ?

Which of the given values make the inequality true: 29- 3x < 21

• 2

• 3

• 2.5

• 3.5