Semester Exam 2024 Flashcard 2

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve for x: 2(4x - 7) = ?

Back

8x - 14

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

If nachos cost $1.50 each and sodas cost $0.50 each, how can we represent the total sales with a system of equations?

Back

1.5x + 0.5y = 78.5 and x + y = 87, where x is the number of nachos and y is the number of sodas.

Front

What is an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis, meaning the value of y is zero at that point.

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph crosses the y-axis, meaning the value of x is zero at that point.

Front

How do you find the zero of a function?

Back

To find the zero of a function, set the function equal to zero and solve for the variable.

Front

What is the value of the zero for the function f(x) = x + 2?

Back

-2

Front

What is a coin problem in algebra?

Back

A coin problem involves finding the number of coins of different denominations that make up a certain total value.

Front

Write a system of equations for a bag containing quarters and dimes worth $2.85 with a total of 18 coins.

Back

q + d = 18 and 0.25q + 0.10d = 2.85, where q is the number of quarters and d is the number of dimes.