Algebra 7th Grade Challenge Problems

Amelia works for 6 hours and earns $48. The graph shows the relationship between the number of hours Amelia works, x, and the total amount she earns, y. Which point represents the number of dollars Amelia makes per hour?

• (1, 6)

• (1, 8)

• (2, 16)

• (6, 48)

Tags

CCSS.HSF.LE.B.5

The table shows the cost of downloading songs from a Web site. At this rate, what is the cost per song?

$ _______ per song (please only write the number in the space provided)

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Purple paint is made from mixing red paint and blue paint. The diagram shows the relationship between the amount of red paint and the amount of blue paint needed to make purple paint. What fraction of each gallon of purple paint is red paint? (Use the / when writing the fraction)

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

The locations of the values for  $p$ and  $r$  are shown on the number line. What is the value of   $p+r$  ?

Tags

CCSS.7.NS.A.1B

Which expression is equivalent to $2.2-2.5$  ?

•  $2.5-2.2$  

•  $2.2+2.5$  

•  $2.2+\left(-2.5\right)$  

•  $2.2-\left(-2.5\right)$  

Tags

CCSS.7.NS.A.1C

Which of the following expressions represent a number greater than 1? Select each correct answer

• $\frac{1}{3}\times2$

• $2\div\frac{1}{3}$

• $\frac{1}{4}\times\frac{2}{3}$

• $\frac{3}{4}\div\frac{2}{3}$

• $\frac{2}{3}\times\frac{3}{4}$

Tags

CCSS.5.NF.B.5A

Determine the value of the expression $-3.45+4.23-7.55$  

Tags

CCSS.7.NS.A.1C

Check off each expression that matches the number line model.

• $-2+4$

• $-2-4$

• $-2-\left(-4\right)$

• $-4+2$

• $-4-\left(-2\right)$

Tags

CCSS.7.NS.A.1B

Check off each expression that matches the number line model.

• $-2+4$

• $-2-4$

• $-2-\left(-4\right)$

• $-4+2$

• $-4-\left(-2\right)$

Tags

CCSS.7.NS.A.1B

The table shows a proportional relationship between the number of pounds of grapes purchased and the total cost of the grapes. A row of values is missing in the table. Which number of pounds of grapes and total cost of the grapes could be used as the missing values in the table? Select each correct response.

• Pounds of grapes: 2

  Total cost: $1.38

• Pounds of grapes: 3

  Total cost: $2.53

• Pounds of grapes: 6

  Total cost: $3.68

• Pounds of grapes: 8

  Total cost: $5.52

• Pounds of grapes: 11

  Total cost: $8.97

Tags

CCSS.7.RP.A.2A