New SAT Math (No Calculator) Practice Test 10
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If = 10, what is the value of t ?
5
= x − 4
If a = 2, what is the solution set of the equation above?
{3, 6}
{2}
{3}
{6}
Which of the following equations represents a line that is parallel to the line with equation y = −3x + 4?
6x + 2y = 15
3x − y = 7
2x − 3y = 6
x + 3y =1
While preparing to run a marathon, Amelia created a training schedule in which the distance of her longest run every week increased by a constant amount. If Amelia’s training schedule requires that her longest run in week 4 is a distance of 8 miles and her longest run in week 16 is a distance of 26 miles, which of the following best describes how the distance Amelia runs changes between week 4 and week 16 of her training schedule?
melia increases the distance of her longest run by 0.5 miles each week.
Amelia increases the distance of her longest run by 2 miles each week.
Amelia increases the distance of her longest run by 2 miles every 3 weeks.
Amelia increases the distance of her longest run by 1.5 miles each week.
If = 3⁄7 , which of the following must also be true?
a⁄b = − 4⁄7
a⁄b =
3(2x + 1)(4x + 1)
Which of the following is equivalent to the expression above?
45x
24x2 + 3
24x2 + 18x + 3
18x2 + 6
If f(x) = −2x + 5, what is f(−3x) equal to?
−6x − 5
6x + 5
6x − 5
6x2 − 15x
x⁄y = 6
4(y + 1) = x
If (x, y) is the solution to the system of equations above, what is the value of y ?
2
4
12
24
f(x)= 3⁄2x + b
In the function above, b is a constant. If f(6) = 7, what is the value of f(−2) ?
−5
−2
1
7
Which of the following expressions is equal to 0 for some value of x ?
|x − 1| − 1
|x + 1| + 1
|1 − x| + 1
|x − 1| + 1
The mesosphere is the layer of Earth’s atmosphere between 50 kilometers and 85 kilometers above Earth’s surface. At a distance of 50 kilometers from Earth’s surface, the temperature in the mesosphere is −5° Celsius, and at a distance of 80 kilometers from Earth’s surface, the temperature in the mesosphere is −80° Celsius. For every additional 10 kilometers from Earth’s surface, the temperature in the mesosphere decreases by k° Celsius, where k is a constant. What is the value of k ?
−3x + 4y = 20
6x + 3y = 15
If (x, y) is the solution to the system of equations above, what is the value of x ?
x3 – 5x2 + 2x – 10
For what real value of x is the equation above true?
In the triangle above, the sine of x° is 0.6. What is the cosine of y° ?
Jim has a triangular shelf system that attaches to his showerhead. The total height of the system is 18 inches, and there are three parallel shelves as shown above. What is the maximum height, in inches, of a shampoo bottle that can stand upright on the middle shelf?
x2 – k⁄2x = 2p
In the quadratic equation above, k and p are constants. What are the solutions for x ?
If the expression above is rewritten in the form a b + i, where a and b are real numbers, what is the value of a ? (Note: i = √−1 )
2
8⁄3
3
The functions f and g, defined by f(x)=8x2 −2 and g(x) = −8x2+ 2, are graphed in the xy-plane above. The graphs of f and g intersect at the points (k, 0) and (−k, 0). What is the value of k ?
1⁄4
1⁄2
1
2
Ken and Paul each ordered a sandwich at a restaurant. The price of Ken’s sandwich was x dollars, and the price of Paul’s sandwich was $1 more than the price of Ken’s sandwich. If Ken and Paul split the cost of the sandwiches evenly and each paid a 20% tip, which of the following expressions represents the amount, in dollars, each of them paid? (Assume there is no sales tax.)
0.2x + 0.2
0.5x + 0.1
1.2x + 0.6
2.4x + 1.2
x = 2y + 5
y = (2x − 3)(x + 9)
How many ordered pairs (x, y) satisfy the system of equations shown above?
zero
1
2
Infinitely many
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