options: Create equations that describe numbers or relationships

Perform arithmetic operations on polynomials.

Rewrite rational expressions.

Solve equations and inequalities in one variable.

Use polynomial identities to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Represent and solve equations and inequalities graphically.

Add and subtract within 20.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Represent and solve problems involving multiplication and division.

Solve systems of equations.

Reason about and solve one-variable equations and inequalities.

Understand and apply properties of operations and the relationship between addition and subtraction.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Represent and solve problems involving addition and subtraction.

Use the four operations with whole numbers to solve problems.

Generate and analyze patterns.

Interpret the structure of expressions.

Work with equal groups of objects to gain foundations for multiplication.

Gain familiarity with factors and multiples.

Understand the connections between proportional relationships, lines, and linear equations.

Understand properties of multiplication and the relationship between multiplication and division.

Write expressions in equivalent forms to solve problems.

Work with radicals and integer exponents.

Use properties of operations to generate equivalent expressions.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Understand the relationship between zeros and factors of polynomials.

Understand solving equations as a process of reasoning and explain the reasoning.

Write and interpret numerical expressions.

Work with addition and subtraction equations.

Multiply and divide within 100.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Analyze patterns and relationships.

Apply and extend previous understandings of arithmetic to algebraic expressions.
problem_activity: Activity
In this practice activity, students prepare for the associated Algebra 1 lesson by practicing applying some of the properties they will need to use.
Student Facing
Evaluate:
\(\dfrac{3^5}{3^4}\)
\(\dfrac{3^1}{3^0}\)
\(\dfrac{3^{\text-1}}{3^{\text-2}}\)
\(\dfrac{3^{100}}{3^{99}}\)
\(\dfrac{3^{x+1}}{3^x}\)
Solve for
\(m\)
:
\(\dfrac{2^m}{2^7}=2\)
\(\dfrac{2^{100}}{2^m}=2\)
\(\dfrac{2^m}{2^x}=2\)
Write an equivalent expression using as few terms as possible:
\(3(x+1) + 4 - (3x + 4)\)
\(2(x+1) + 5 - (2x + 5)\)
\(2(x+2) + 5 - (2(x+1) + 5)\)
\(\text-5(x+1) + 3 - (\text-5x + 3)\)
\(\dfrac{5^{x+1}}{5^x}\)
\(\dfrac{7^{x+4}}{7^x}\)
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Activity Synthesis
Either display the correct solutions or invite students check with another student to see if their answers are the same.  If there are any differences between solutions, invite students to ask questions or discuss whole group.


correct_option_index: 23