Algebra Semester 1 Review 2024-2025 (Units 1-6) 24-25

Front

What is the solution to the inequality -10 ≤ (4x - 5)/2 < 20?

Back

The solution is -3 \frac{3}{4} ≤ x < 11 \frac{1}{4}.

Front

How can you represent the total number of student and adult tickets sold if 530 tickets were sold in total?

Back

S + A = 530, where S is the number of student tickets and A is the number of adult tickets.

Front

What is the total amount saved by Mr. Chan after 8 months if he saved $3700?

Back

Mr. Chan saved $3700.

Front

Write the equation for an absolute value function that shifts down 9 from the parent function y = |x|.

Back

The equation is y = |x| - 9.

Front

How do you express '7 times the difference of y and 4' in algebraic form?

Back

The expression is 7(y - 4).

Front

What is the definition of an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

What does the term 'absolute value' represent?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction.

Front

How do you solve a system of equations?

Back

You can solve a system of equations using methods such as substitution, elimination, or graphing.

Front

What is the formula for calculating the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.