ALG 1 BM Review

The table shows the total amount of soil, in ounces, remaining in a bag based on the number of succulents, x, planted in a garden. If 0 ≤ x ≤ 20, which function, f(x), models the total amount of soil, in ounces, remaining in the bag based on the number of succulents, x, planted in the garden?

• f(x) = −0.6x + 12

• f(x) = 0.6x + 12

• f(x) = 12x − 0.6

• f(x) = 12x + 0.6

A quilt maker determines the number of squares of quilting material needed for a project. Which is least likely to affect the number of squares needed?

• the dimensions of the squares of quilting material

• the dimensions of the quilt when completed

• the number of squares of quilting material needed for the border of the project

• the weight of the squares of quilting material

Which value of x makes the equation 5(x − 2) − 10 = 3(8 − 4x) + 6x true?

• 4

• 12

• 14

• 2

The graph represents the height of a child, 𝒉, in inches, over time, 𝒕, in years.

Which units are most appropriate for the rate of change in the graph?

• inches/second

• inches/year

• seconds/inch

• years/inch

The table shows the side lengths of a triangle, in inches.

If the equation (2x + 1) + (3y) + (x + 2y) = 24 represents the perimeter of the triangle, in inches, which represents the equation when solved for x?

Consider the system of inequalities graphed on the coordinate plane.

If the shaded region of the coordinate plane represents the solution set for the system of inequalities, which system of inequalities best represents the graph?

• y ≥ -2x + 4

  y > 1/3x - 1

• y > -2x + 4

  y ≥ 1/3x - 1

• y ≤ -2x + 4

  y < 1/3x - 1

• y < -2x + 4

  y ≤ 1/3x - 1

A customer at a grocery store purchases bananas and plums.

Bananas cost $0.40 each, and plums cost $0.55 each.

The total cost of the bananas and plums is $10.80.

The customer buys 24 total bananas and plums combined.

Which system of equations can be used to determine the number of bananas, x, and plums, y, that the customer purchases?

• 0.4x – 0.55y = 10.80

  x - y = 24

• 0.4x + 0.55y = 10.80 x – y = 24

• 0.4x + 0.55y = 10.80 x + y = 24

• 0.4x - 0.55y = 10.80

  x + y = 24

Which two relations represent functions?

• A and B

• B and C

• C and D

• A and E

• A and C

Consider the equation. |8x + 16| = 0. What is (are) the solution(s) to the equation?

• There are no solutions to the equation.

• x = –2 and x = 2

• x = –2 only

• x = 2 only

A prepaid train depot card has an initial amount of money, and a charge is deducted for each use of the train, x. The expression 35 – 2.75x represents the scenario. Which statement is true?

• The coefficient 35 represents an initial amount of $35 on the prepaid train depot card, while the coefficient of the term –2.75x represents a deduction of $2.75 per use of the train.

• The coefficient 35 represents an initial amount of $35 on the prepaid train depot card, while the constant –2.75x represents an addition of $2.75x per use of the train.

• The constant 35 represents an initial amount of $35 on the prepaid train depot card, while the coefficient of the term –2.75x represents a deduction of $2.75 per use of the train.

• The constant 35 represents an initial amount of $35 on the prepaid train depot card, while the constant –2.75x represents an addition of $2.75x per use of the train.