2024 SAT Test Math Practice 22


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6.

Sat math 32 3

The graph, y = f(x), shown above models the performance of a certain crop, where x is the nutrients subtracted or added to the soil and y is the gain or loss of pieces of fruit added to the total harvest. A more powerful fertilizer that is used causes the graph y = f(x) to be reflected over the line y = x. Which of the following best describes the behavior of the crop with the new fertilizer?

A. For every three nutrients added to the soil, the crop loses two additional fruits for the total harvest.
B. For every two nutrients added to the soil, the crop loses two additional fruits for the total harvest.
C. For every three nutrients added to the soil, the crop adds two additional fruits to the total harvest.
D. For every two nutrients added to the soil, the crop adds three additional fruits to the total harvest.

Correct Answer: D

Answer Explanation:

Sat math 32 4

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7. An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?

A. 325
B. 375
C. 400
D. 408
E. 425

Correct Answer: C

Answer Explanation:

The equation, x-0.10x-0.15(x-0.10x)=306, may be used to solve the problem. Solving for x gives 0.90x – 0.15x + 0.015x = 306, where x = 400. Thus, the original price was $400.

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8. If y(x-1)=z then x=

A. y-z
B. z/y + 1
C. y(z-1)
D. z(y-1)
E. 1-zy

Correct Answer: B

Answer Explanation:

The equation may be solved by first distributing the y across the expression, x – 1, on the left side of the equation. Doing so gives: xy – y = Z. Adding y to both sides of the equation gives: xy = Z + y. Finally, division of both sides of the equation by y gives: x=(Z+y)/y or x=Z/y+1.

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9. Which of the following values is NOT equal to 34(58+9)?

A. 34 * 67
B. 58(34+9)
C. 34 * 58 + 34 * 9
D. 1,972 + 306
E. (9 + 58) 34

Correct Answer: B

Answer Explanation:

This problem illustrates the distributive property of multiplication over addition. The factor being distributed may not change.

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10. Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle?

A. 50°
B. 55°
C. 60°
D. 80°
E. 90°

Correct Answer: D

Answer Explanation:

The measure of the third angle of the triangle is equal to 180°-(15° + 85°), or 80°.

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