A1 TCAP Review

Mr. Kelly buys a total of 40 boxes of pens and pencils for his class. Each box of pens costs $5. Each box of pencils costs $2. Mr. Kelly spends a total of $131 on the pens and pencils. Which equations form a system of equations that can be used to determine the number of boxes of pens, x, and the number of boxes of pencils, y, that Mr. Kelly buys? Select two correct answers.

• X + Y = 40

• 2x + 5y = 131

• 5x + 2y = 40

• 2x + 5y = 40

• 5x + 2y = 131

A park has too many resident geese. The park rangers post signs one year asking the public to stop feeding the 500 resident geese. After the signs are posted, the resident geese population decreases by 3% each year since some geese fly to a different location with more food. Which function models the resident geese population after x years?

• p(x) = 500(0.03)^x

• p(x) = 500(0.97)^x

• p(x) = 500 + 0.03x

• p(x) = 500 + 0.97x

Which equation could be used to find the intersection of the graphs of y = 4x^2 − 5x + 3 and y = 3^x

• 3^x = 0

• 0 = 4x^2 - 5x + 3

• 4x^2 - 5x + 3 = 3

• 3^x = 4x^2 - 5x + 3

Concert tickets cost $3 for students and $5 for adults. There are s student tickets sold and n adult tickets sold. Which expression represents the total number of concert tickets sold?

• s + n

• 3s + 5n

• s/3 + n/5

• s/5 + n/3

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Which two values could represent a strong, but not exact, correlation coefficient?

• -1

• -0.8

• -0.2

• 0.3

• 0.9

An expression is shown. (x^2 − 3x + 12) + (x^2 − 4) Which expression is equivalent to the expression shown?

• x^2 − 3x + 8

• x^2 − 7x + 12

• 2x^2 − 3x + 8

• 2x^2 − 7x + 12

Solve: 6 − 4(2x − 1) = −9

• 1/8

• 7/4

• 11/8

• 19/8

Which expression is equivalent to the expression shown?

17(52 + 18) + 41(35 + 35)

• 17(41)(70)

• . (17 + 41)70

• (17 + 41)(52 + 18)(35 + 3

• . (17 + 41) + (52 + 18) + (35 + 35)

Which function has the greatest value for x = 20?

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