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- Common Core MathK - 8High School

# Grade 8: Expressions and Equations

936 questions46 skills

# Grade 8: Expressions and Equations

936 questions46 skills

## 8.EE.A.1

153 questions9 skills

Know and apply the properties of integer exponents to generate equivalent numerical expressions.

## 8.EE.A.2

88 questions6 skills

Use square root and cube root symbols to represent solutions to equations of the form

*x*^{2}=*p*and*x*^{3}= p, where*p*is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.## 8.EE.A.3

64 questions3 skills

Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.

## 8.EE.A.4

103 questions5 skills

Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities. Interpret scientific notation that has been generated by technology

## 8.EE.B.5

60 questions2 skills

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation

*y*=*mx*+*b*for a line intercepting the vertical axis at*b*. Skills for this standard are coming soon.

## 8.EE.C.7

332 questions14 skills

Solve linear equations in one variable.

Equations with parentheses

Sums of consecutive integers

Equations with variables on both sides

Intercepts from an equation

Equation practice with vertical angles

Equation practice with segment addition

Equation practice with midpoints

Equation practice with angle addition

Number of solutions to equations

Graph from linear standard form

Slope-intercept from two points

Equations with parentheses: decimals & fractions

Number of solutions to equations challenge

Equations with variables on both sides: decimals & fractions

## 8.EE.C.7a

51 questions2 skills

Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form

*x*=*a*,*a*=*a*, or*a*=*b*results (where*a*and*b*are different numbers).## 8.EE.C.7b

265 questions11 skills

Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

Equations with parentheses

Sums of consecutive integers

Equations with variables on both sides

Intercepts from an equation

Equation practice with vertical angles

Equation practice with segment addition

Equation practice with midpoints

Equation practice with angle addition

Slope-intercept from two points

Equations with parentheses: decimals & fractions

Equations with variables on both sides: decimals & fractions

## 8.EE.C.8

145 questions7 skills

Analyze and solve pairs of simultaneous linear equations.

## 8.EE.C.8a

64 questions4 skills

Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

## 8.EE.C.8b

117 questions7 skills

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection.

## 8.EE.C.8c

71 questions3 skills

Solve real-world and mathematical problems leading to two linear equations in two variables.