Algebra Benchmark 1 Review

A tree is currently 𝟐 feet tall and grows 𝟏.𝟑 feet per year. Which inequality represents the time, in 𝒙 years, when the tree will have a height of at least 𝟐𝟎 feet?

Tags

A1.A.CED.A.1

A rectangular field is fully enclosed with 𝟐𝟏𝟖 meters of fencing. The length of the field is 𝟏𝟕 meters longer than the width, 𝒘.Which statement is true?

Tags

A1.A.CED.A.1

A couple drives to a gas station from a movie theater at a constant rate. The graph shows the number of miles remaining, 𝒚, after 𝒙 minutes of driving.

Which equation best represents the graph?

Tags

A1.A.CED.A.2

The couple stops at the gas station to purchase a bottle of engine oil and 𝒈 gallons of gas. The bottle of engine oil costs $𝟕.𝟓𝟎, and gas costs $𝟐.𝟔𝟒 per gallon.

Which equation represents the total cost, 𝑻, the couple spends at the gas station based on the number of gallons of gas purchased?

Tags

A1.A.CED.A.2

A garden store sells potted plants and shrubs.

A softball coach is purchasing equipment for the team at a sporting goods store. Each softball glove costs $𝟑𝟎, and each batting helmet costs $𝟐𝟓. The coach spends at most $𝟔𝟎𝟎.

Which inequality represents all the possible combinations of 𝒈, the number of gloves, and 𝒉, the number of helmets, the coach can purchase?

Tags

A1.A.CED.A.3

A café sells coffee and tea.

• On one day, the café sells twice as many teas as coffees.

• The café sells a total of 𝟗𝟎 coffees and teas on the same day.

The graph shows a system of equations representing the number of teas sold, 𝒚, based on the number of coffees sold, 𝒙.

For which situation will all conditions be satisfied?

• The café sells 0 coffees and 90 teas.

• The café sells 30 coffees and 60 teas.

• The café sells 60 coffees and 30 teas.

• The café sells 90 coffees and 0 teas.

Tags

A1.A.REI.C.4

Tags

A1.A.CED.A.4

Tags

A1.A.CED.A.4

Tags

A1.A.REI.A.1

• Both students solve the equation correctly, and each makes no mistakes.

• Both students solve the equation incorrectly, and each makes mistakes.

• Only Student 1 solves the equation correctly, while Student 2 solves the equation incorrectly.

• Only Student 2 solves the equation correctly, while Student 1 solves the equation incorrectly.

Tags

A1.A.REI.A.1