PSAT Math Grid-Ins Practice Test 4

The use of a calculator is not permitted.

1. 4s + 2t = 7

3s - 2t = 14

In the system of equations above, what is the value of s?


In the figure above, lines m and n cross the lines containing segments RT and SU such that angle RSV is congruent to angle TUV. If angle UVT is a right angle, and angle TUV measures 65°, what is the value of x? (Disregard the degree sign when gridding your answer.)

3. A theater sells student tickets to a play for $24 and regular admission tickets for $36. If the theater sells out the 100-seat theater for opening night and has total ticket sales of $3,144, how many of the tickets sold were student tickets?

4. If x ≠ 0 and 5x = 7y, what is the value of ?

5. Monica sells home-made jams and she made half as many ounces of jam on Wednesday as she did on Thursday. She made a total of 3 pounds and 6 ounces of jam on those two days. How many ounces of jam did Monica make on Thursday? (Note: 16 ounces = 1 pound)

6. 6(2y + z) = 12y + 18

In the equation above, z is a constant. For what value of z does the equation have an infinite number of solutions?

7. (gx2 - 4y2)(6x2 + hy2)

In the expression above, g and h are non-zero constants with a difference of 5. If the value of the coefficient on the x2y2 term is zero when the expression is multiplied out and the like terms are collected, what is the value of gh?

8. 8y2 - dy - 15

If 2y - 3 is a factor of the expression above, in which d is an integer, what is the value of d?

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