End of Year Review

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A basket weaver makes straw and bamboo baskets to sell at a farmer’s market for $42 each.

• The function g(x) = 42(37 + x) represents the total amount, in dollars, the basket weaver earns by selling 37 straw baskets and x bamboo baskets.

What is the value of g(23)?

• 1,003

• 1,577

• 1,817

• 2,520

• x ≤ 0

• x ≥ 3

• 0 ≤ x ≤ 6

• 3 ≤ x ≤ 6

A student is solving the equation 3(x − 12) = 9x. Which describes a first step the student could use to solve the equation correctly?

• The student can distribute 3 on the left side of the equation, resulting in 3x − 36 = 9x.

• The student can distribute 3 on the left side of the equation, resulting in 3x − 12 = 9x.

• The student can divide both sides of the equation by 3, resulting in x − 12 = 6x.

• The student can divide both sides of the equation by 3, resulting in x − 4 = 3x.

Which statement is true?

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A commuter travels to work using a city bus. The function f(t) = −600t + 12, 000 represents the distance remaining, in meters, after t minutes of riding the bus.

What does −600 represent in the function f(t)?

• the slope of the function and the change in distance remaining, in meters per minute, of

  riding the bus

• the slope of the function and the initial number of meters remaining when t = 0

• the y-intercept of the function and the change in distance remaining, in meters per minute,

  of riding the bus

• the y-intercept of the function and the initial number of meters remaining when t = 0

A store manager collects and analyzes data to estimate the price of a coat, y, in dollars, after x weeks of being discounted each week from when it is initially priced. The linear model y = −12x + 168 can be used to represent the data when

0≤ x < 14.

Which two best describe the value −12?

• change in price, in dollars per week

• initial price of the coat when x = 0

• slope

• x-intercept

• y-intercept

A rectangular flower box has a length that is 4 feet longer than the width. A gardener uses the function p(x) = 2x + 2(x + 4) to determine the perimeter of the flower box based on the width, x, in feet.

Which statement is true about the function when graphed on a coordinate plane?

• As x increases, the perimeter of the flower box always decreases.

• As x increases, the perimeter of the flower box always increases.

• As x increases, the perimeter of the flower box first decreases and then increases.

• As x increases, the perimeter of the flower box stays the same.

A person’s cell phone battery is 98 percent charged on Saturday morning and loses charge at a rate of 4 percent per hour. If 0 ≤ t ≤ 15, which function, P(t), represents the total amount of charge the phone battery has as a function of time, t, in hours since Saturday morning?

• P(t) = 4t − 98

• P(t) = 15t − 98

• P(t) = 98 − 15t

• P(t) = 98 − 4t

A student is solving the equation 20x = 4(x − 8). Which two describe a first step the student could use to solve the equation correctly?

• The student can distribute 4 on the right side of the equation, resulting in

  20x = 4x − 32.

• The student can distribute 4 on the right side of the equation, resulting in 20x = 4x − 8.

• The student can divide both sides of the equation by 4, resulting in

  5x = x − 8.

• The student can divide both sides of the equation by 4, resulting in

  5x = x − 2.

• The student can divide both sides of the equation by 4, resulting in

  16x = x − 8.