How to find the solution for a system of equations

Practice Questions

SAT Math › How to find the solution for a system of equations

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1

The sum of four consecutive even integers is , but their product is . What is the least of those integers?

2

If 7_x_ + y = 25 and 6_x_ + y = 23, what is the value of x?

3

How many solutions are there to the following system of equations?

$\pi x + 2\pi y = 3\pi$

$-\pi x -2\pi y = -3\pi$

4

What is the value of in the following system of equations? Round your answer to the hundredths place.

5

At what point will the lines $\dpi{100} \small 4x+2=y$ and $\dpi{100} \small 3x+3=y$ intersect?

6

Solve for the point of intersection of the following two lines:

$\begin{Bmatrix} x-y=2\ 3x+4y=5 \end{Bmatrix}$

7

If x2 – y2 = 20, and x + y = 10, then what is the product of x and y?

8

The graph below is the graph of a piece-wise function in some interval. Identify, in interval notation, the decreasing interval.

9

A store sells 17 coffee mugs for $169. Some of the mugs are $12 each and some are $7 each. How many $7 coffee mugs were sold?

10

If x + 12 = 28, what is the value of (3x + 2) * (–x + 10)?

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