SAT Junior 2022

Linear equations

100

If P(t) = 5x +31.What is the number that this function increases by and what is the initial value?

increases by 5 and the initial value is 31.

200

A bird traveled 72 miles in 6 hours flying at constant speed. At this rate, how many miles did the bird travel in 5 hours?

what is 60?

300

If 5x+5=10, what is the value of 10x+3? 

13

400

When 4 times a number x is added to 12, the result is 8. What number results when 2 times x is added to 7?

5

500

The graph of the equation  is a line in the xy-plane, where a and k are constants. If the line contains the points and , what is the value of k ?

 A. -2

 B. -1

 C. 2

 D. 3

A. -2

Systems of equations and inequalities

100

7x-5y=4

4x-8y=9

What is the value of 3x+3y?

A. -13

B. -5

C. 13

D. 5

B. -5

200

6x+7y=28

2x+2y=10

The solution to the given equation is (x,y). Find the value of y?

-2

300

Which of the following numbers is NOT  a solution of the inequality 

3x-5> 4x-3

A. -1

B. -2

C. -3

D. -5

A. -1

400

2x+7y=9

8x+28y=a      In the given system of equations, a is a constant. If the system has infinitely many solutions, what is the value of a ? 

A. 4

B.9

C.36

D.54

C.36

500

x+y=0 AND 3x-y=10 What is x?

2.5 or 5/2

Quadratic equations and expressions

100

f(x)=(x+0.25x)(50-x)

The function f is defined above. What is the value of f(20)  ?

A. 250

B. 500

C. 750

D. 2,000

C. 750

200

An object is kicked from a platform. The equation h=-4.9t²+7t+9 represents this situation, where  is the height of the object above the ground, in meters,  seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?

9

300

(x−6)(x−1)

Which of the following is equivalent to the expression above?

(A: x²-7x+6) 

(B: x²+5x-7) 

(C: 2x²-7x+6)

(D: 2x²-7x-7)

(A: x²-7x+6)

400

g(x)=x²-18x-360

If the given function g(x) is graphed in the xy-plane, where , what is an x-intercept of the graph?

(-12,0)

500

h(x)=-16x²+100x+10

The quadratic function above models the height above the ground h, in feet, of a projectile x seconds after it had been launched vertically. If h(x) is graphed in the xy-plane, which of the following represents the real-life meaning of the positive x-intercept of the graph?

A. The initial height of the projectile

B. The maximum height of the projectile

C. The time at which the projectile reaches its maximum height

D. The time at which the projectile hits the ground

D.

Random SAT problems

100

What is this formula? 

a² + b² = c²

Pythagorean Theorem

200

The average of 230, 155, 320, 400 and 325.

What is 286

300

Two numbers that should be placed in the banks below so that the difference between successive entries is the same? 

26, ___, ___, 53. 

A) 28,46 

B)38,48 

C)29,40 

D)35,44

What is D) 35,44

400

The arithmetic mean of x, 5x, and 6x is 8, what is the value of x? 

A)2

B)4 

C)6 

D)10

What is A)2

500

1.783 rounded to the nearest whole number, the result is how much greater than when 1.783 is rounded to the nearest tenth? 

A)0.2 

B)0.4 

C)0.8 

D)1.0

What is 0.2