HiSET Math Practice Quiz 1
What is the x value such that y =15 - 3x and y = 0?
y =15 - 3x and y = 0 Hence 15 - 3x = 0 Hence 3x = 15 x = 5
In the diagram below, what are the coordinates of the mirror image of the point B in the x-axis?
If B is reflected in the x-axis its x-coordinate will not change but it will be as far below the x-axis as it currently is above the x-axis. Its coordinates, after reflection, will be (3, -2)
Lines that never cross in the same plane
Lines that never cross each other and remain equidistant at all points are called "parallel lines." In geometry, parallel lines lie in the same plane and have the property that they do not intersect, no matter how far they are extended. This means they maintain a constant distance between each other at every point along their length.
10 people can paint a building in 5 days. If each person paints as quickly as the others then how much of the building could 7 people paint in 5 days?
10 people can paint a building in 5 days. Each person paints 1/10 of the building in 5 days. In 5 days 7 people would paint 7 × 1/10 of the building In 5 days 7 people would paint 7/10 of the building.
Places that are situated on the same plane.
Places or points that lie on the same plane are referred to as "coplanar points." In geometry, a plane is a flat, two-dimensional surface that extends infinitely in all directions. When points are said to be coplanar, it means they all lie within the same plane.
A segment of a line with two ends.
A segment of a line with two distinct endpoints is called a "line segment." In geometry, a line segment is a finite portion of a straight line. It has a defined length, which is the distance between its two endpoints. Unlike a line, which extends infinitely in both directions, a line segment has a specific and measurable length.
The sum of any two whole numbers plus a number.
On a number line what is the distance between -3/7 and -2/3 ?
The distance between numbers can be found by using absolute values (|a| or abs(a)). The distance between these numbers is abs(-3/7 − -2/3 ) = abs(-(3/7 -2/3)) = abs(3/7 -2/3) = abs(9/21 - 14/21) = abs(-5/21 ) =5/21
How many meters are there in 21 feet? Note: In the metric system of units: 1 meter = 100 centimeters and 1 meter:1 foot = 3.25:1
3.25 feet = 1 meter 1 foot = 1÷3.25 meters 21 feet = 21×1÷3.25 = 6.4615 meters
In the diagram below, which line has a positive slope?
The coordinates of A are (1,2), the coordinates of B are (3,2). The slope of AB is (2-2)/( 3-1) = 0 The coordinates of A are (1,2), the coordinates of D are (-2,4). The slope of AD is (4-2)/( -2-1) = -4/3 The coordinates of A are (1,2), the coordinates of C are (2,4). The slope of AB is (4-2)/( 2-1) = 2 The coordinates of D are (-2,4), the coordinates of B are (3,2). The slope of DB is (2-4)/( 3− -2) = -4/5
Put these four fractions in order from smallest to largest: 1/4, 2/3, 4/7, 1/2
If 1/4, 2/3, 4/7, 1/2 are converted to decimals we get 0.25, 0.6666...., 0.571....., 0.5 then the correct order is obvious or If 1/4, 2/3, 4/7, 1/2 are converted to fractions with a common denominator 21/84, 56/84, 48/84, 42/84 then the correct order is obvious.
A quantity that is multiplied by another quantity to produce a result.
A factor is a quantity that is multiplied by another quantity to produce a result. In mathematics, when we multiply two or more numbers together, each number is called a factor. The result of the multiplication is called the product.
An isosceles triangle has two equal sides. If two of the sides are 5 inches and 2 inches how long is the perimeter?
The other side must be 5 inches otherwise the two shorter sides could not meet. The perimeter is the distance around the outside of the triangle and is 5 + 5 + 2 = 12.
A rocket on a computer screen has a path modeled by the equation h=-t2+3t+10 where t is time in seconds and h is the height above a platform and is in computer units. Find how long the rocket takes to reach the platform.
The platform is reached when h = 0. It is necessary to solve the equation 0 =-t2+3t+10. This can be rearranged to t2-3t-10 = 0. Hence (t - 5)( t + 2) = 0. Solving the equation gives t = 5 or -2. As t is a time it is not possible for t to be -2. The rocket takes 5 seconds to reach the platform.
The cylinder below has r = 10 inches and a volume of 6283 cubic inches to the nearest cubic inch. Find the height of the cylinder to the nearest inch.
The volume of this cylinder is 6283. (pi)r2h = 6283. h is the height. (pi) is 3.14... h = 6283÷(pi)÷100 = 19.999.... h = 20 The height of the cylinder is 20 inches.
Angles at the same location on various lines.
Angles at the same location on different lines are called "corresponding angles." When two lines are intersected by a third line (known as a transversal), the corresponding angles are formed at the same relative positions with respect to the transversal.