SAT 10 Math Test 3 11-15

SAT 10 Math Test 3 11-15

by Christy Kessler

Multiple Choice

A circle in the xy -plane has center ( 5, 7) and radius 2.

Which of the following is an equation of the circle?

• (x − 5)² + (y − 7)² = 4

• (x + 5)² + (y + 7)² = 4

• (x − 5)² + (y − 7)² = 2

• (x + 5)² + (y + 7)² = 2

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​Once you know that the radius is squared in the equation of a circle, you can eliminate the two options that have = 2.

​

​Then we need to know that the equation is (x - h)

Multiple Choice

In the figure, triangle ABC is similar to

triangle DEF . What is the value of cos(E) ?

• $$\frac{12}{5}$$  

• $$\frac{12}{13}$$  

• $$\frac{5}{12}$$  

• $$\frac{5}{13}$$  

​12/

The measure of angle B is equal to the measure of angle E. In right triangle DEF, the cosine of angle E is equal to the length of the side adjacent to angle E divided by the length of the hypotenuse in triangle DEF.

Multiple Choice

In the xy -plane, the graph of the function

f (x) = x² + 5x + 4 has two x -intercepts. What is the

distance between the x-intercepts?

• 1

• 2

• 3

• 4

​Correct Answer: 3

​Factoring this function gives us

(x+ 4)(x + 1)

​

​So x = -4 and x = -1

​

​The difference between -4 and -1 is 3.

Multiple Choice

$$\sqrt[]{4x}\ =x\ -3$$  

What are all values of x that satisfy the given equation?

I. 1

II. 9

• I only

• II only

• I and II

• Neither I nor II

​Correct Answer: 9 only

Multiple Choice

−3x + y = 6

ax + 2y = 4

In the system of equations above, a is a constant. For

which of the following values of a does the system have no solution?

• -6

• -3

• 3

• 6

​Correct answer: -6