PSAT Math Grid-Ins Practice Test 4

1. 4s + 2t = 7

3s - 2t = 14

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

2.

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?