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- Common Core MathK - 8High School

975 questions47 skills

153 questions9 skills

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

76 questions5 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.

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.

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

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.

332 questions14 skills

Solve linear equations in one variable.

Slope-intercept from two points

Equation practice with segment addition

Equation practice with midpoints

Number of solutions to equations

Intercepts from an equation

Equations with variables on both sides: decimals & fractions

Number of solutions to equations challenge

Equations with variables on both sides

Equations with parentheses: decimals & fractions

Equation practice with angle addition

Graph from linear standard form

Equation practice with vertical angles

Equations with parentheses

Sums of consecutive integers

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).

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.

Slope-intercept from two points

Equation practice with segment addition

Equation practice with midpoints

Intercepts from an equation

Equations with variables on both sides: decimals & fractions

Equations with variables on both sides

Equations with parentheses: decimals & fractions

Equation practice with angle addition

Equation practice with vertical angles

Equations with parentheses

Sums of consecutive integers

224 questions11 skills

Analyze and solve pairs of simultaneous linear equations.

Number of solutions to a system of equations algebraically

Solutions of systems of equations

Number of solutions to a system of equations graphically

Systems of equations word problems

Systems of equations with elimination challenge

Systems of equations with substitution

Equivalent systems of equations

Linear systems of equations capstone

Systems of equations with elimination

Systems of equations with graphing

Age word problems

48 questions3 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.

184 questions10 skills

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

Number of solutions to a system of equations algebraically

Solutions of systems of equations

Number of solutions to a system of equations graphically

Systems of equations word problems

Systems of equations with elimination challenge

Systems of equations with substitution

Equivalent systems of equations

Linear systems of equations capstone

Systems of equations with elimination

Systems of equations with graphing

55 questions2 skills

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